CURRICULUM VITAE DR. QAMAR JALIL AHMAD KHAN C1. PERSONAL INFORMATION Present Address : (Address for Communication) Dr. Q.J.A. Khan (Professor) Dept. of Mathematics and Statistics College of Science, Sultan Qaboos Univ. P.O. Box 36, Al-Khod 123, Muscat Sultanate of Oman Phone No. : (+ 968) 24414028 (Res.) (+ 968) 244141429 (Office) Mobile : 00968 - 92141004 E-mail : qjalil@squ.edu.om C2. EDUCATION AND EMPLOYMENT INFORMATION Ph.D., 1980, Indian Institute of Technology, Kanpur, India, Applied Mathematics (Bio-Mathematics) with Software Application. M.Sc., 1974, Agra University, Agra, U.P., India in Mathematics. M.Sc., 1972, Agra University, Agra, U.P., India in Physics. pg. 1/18 DESIGNATION INSTITUTION Professor Dept of Mathematics & Statistics, DATE June2013- Sultan Qaboos University, OMAN Associate Professor Asst. Professor D Deee Dept. of Mathematics & Statistics, June2001-May-2013 Sep. 1990 – June2001 Sultan Qaboos University, Oman. Lecturer Dept. of Mathematics, Sep. 1983 – 1990 N.D.A., Jawaharlal Nehru Univ. New Delhi, India. Lecturer Dept. of Applied Mathematics, Feb. 1982 – 1983 Z. H. Engineering College, Aligarh Muslim University, Aligarh, India. Lecturer Dept. of Mathematics, Post Graduate, Jan. 1981 – Feb. 1982 Govt. College Srinagar University, Garhwal, India. pg. 2/18 Research Assistant Dept. of Mathematics, 1976 - 1980 Indian Institute of Technology RESEARCH PUBLICATIONS (INTERNATIONAL REFEREED JOURNALS) 1.Q. J. A. Khan,M.Al-Lawati and Fatma A. Al-Kharousi , ” Predator-prey Harvesting Model with Fatal disease in Prey” accepted for publication in the journal , Mathematical Methods in the Applied Sciences. 2. Santu Biswas,Sourav Kumar Sasma,Sudip Samanta,Md Saifuddin, Qamar Jalil Ahmad Khan, Joydev Chattopadhyay, “ A delayed Eco-Epidemiological system with infected prey and predator subject to weak Alee effect”, Mathematical Biosciences 263(2015)198-208. 3.Joydev Chattopadhyay,Nikhil Pal,Sudip Samanta, Ezio Venturino, Q. J. A. Khan,(2015).” Chaos control via feeding switching in an omnivory system” BioSystem138:18-24. 4.. Priti Roy, Amernath Chatterjee, David Greenhalgh, Q. J. A. Khan entitled “ Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model’’ , Nonlinear Analysis, Series B: Real world Applications, 14,p1621-1633,2013. . 5.Q. J. A. Khan, E. Balakrishnan and AzzaHamood Al-Harthy,’’ Eco-Epidemiological models of Salton Sea with infected prey’’ Journal of Biological System, V.21,No.1,p 121,2013. : 0.57 6.Q. J. A. Khan, M. Al - Lawatia, M. H. M. Al - Senaidi, “Breeding adjustment of small mammals to avoid predation”, Computers and Mathematics with Applications, V-62, p 4337-4355,2011. 7Q. J. A. Khan, E. V. Krishnan, and E. Balakrishnan,” Two – predator and two prey species group defence model with switching”, International journal of Computational Bioscience,V.1, No.1, p69 – 78,2010. pg. 3/18 8.Q. J. A. Khan, M. Al – Lawatia,” Restoring Oceanic Islands Ecosystems by Controlling Introduced predator species”, International journal of Modelling and Simulation, V.31, No.1, 2011. 9.David Greenhalgh, Q. J . A. Khan,” A delay differential equation mathematical model for the control of the hormonal system of the hypothalamus, the pituitary and the testis in man, Nonlinear Analysis,V71,925 – 935,2009. 10.Q. J. A. Khan, M. Al - Lawatia,” Effect of the intensity of predator switching on the stability” Advances in Mathematical Sciences and Applications,V.19, No.1 p51-70,2009. 11. Q. J. A. Khan., Greenhalgh, D.,” A model for the pulsatile release of hormones of the hypothalamus, pituitary and testis system, Dyn. Contin. Discrete Impulsive Syst. Ser. A Math. Anal.14,Advances in Dynamical system,suppl.S2,63-68,2007. 11.Bhatt, B., Q. J. A. Khan, Jaju, R. ''Switching effect of predation on prey species living in two habitats with group defense capability'', WSEAS Transactions on Systems. V 4, No.12,p2277-2283,2005. 12.Q. J. A. Khan, ''Stability analysis of a defensive switching prey-predators model of Tanganyika lake ''WSEAS Transaction on Environment and Development. V 1, No.1,p161-166,2005. 13.Greenhalgh, D, , Q. J. A. Khan, and Lewis, F.I. ''Recurrent epidemic cycles in an infectious disease model with a time delay in loss of vaccine immunity'' Nonlinear Analysis,V63,No.5-7,p779-788,2005. 14.Q. J. A. Khan, Balakrishnan. E. and Wake, G. C, Analysis of a Predator-prey System with Predator Switching, Bull. of Math. Biol. V 66,109-123,2004. 15.Greenhalgh,D, Q. J. A. Khan, and Lewis, F. I., Hopf bifurcation in two SIRS densitydependent epidemic models, Math. and Comp. modeling. V 39,1261 – 1283,2004. 16.E.V.KRISHNAN and Q. J. A. Khan. ”Lie group of transformation for a KdV – Boussinesq equation” Czechoslovak journal of physics,V53.No.2p99 – 105,2003 17.Q. J. A. Khan and E. V. Krishnan, “An Epidemic Model with a Time Delay in Transmission” Applications Of Mathematics,V48,N0.3,p 193-203,2003. 18.Q. J. A. Khan, A.F. Ghaleb,”A study of prey – predator relations for mammals” J. Theor.Biol.V 223,p171-178,2003. 19.G.D. Ruxton, Q. J. A. Khan and M.A.AL- Lawatia, ”The Stability of internal equilibria in predator-prey models with breeding suppression ”IMA J. OF MATH. APPL. in MED. and BIOL.19,p 207 – 219,2002. 20.Q. J. A. Khan, E. V. Krishnan and M.A.AL-Lawatia,” A stage structure model for the growth of a population involving switching and cooperation” ZAMM 82,V.2,p125-135,2002 pg. 4/18 21.Q. J. A. Khan “Delay effect in epidemic models of infectious diseases” ,Oxford Research Forum Journal(University of Oxford) V.1,No.3,p35-40,2001. 22.Q. J. A. Khan, E. V. Krishnan and M.A.AL-Lawatia,” A stage structure model for the growth of a population involving switching and cooperation” ZAMM 82,V.2,p125-135,2002 23.E. V. Krishnan and Q. J. A. Khan, “Higher order Kdv-Type equations and their stability” International journal of mathematics and mathematical sciences”p1-6,2001. 24.B. S. Bhatt, Q. J. A. Khan and R. P. Jaju, Switching Effect of Predation on A Small Size Prey Species Living in Two Different Habitats, “J. Phy. Soc. Japan, Vol. 69, No. 9, p. 4706, 2000. 25.Q. J. A. Khan, Hopf Bifurcation in Multiparty Political Systems with Time Delay in Switching, “Applied Mathematics Letters”, Vol. 13, No. 7, p. 43 – 52, 2000. 26.B. S. Bhatt, Q. J. A. Khan and R. P. Jaju, Switching Effect of Predation on Large Size Prey Species Exhibiting Group Defense, “Differential Equations and Control Processes”, Vol. 3 No. 3 p. 84 – 98, 1999. 27.Q. J. A. Khan and R.P. Jaju, Comparative study of Two Prey-Predator Switching Models. Journal of Physical Society of Japan, V68, No. 6, 1999. 28.Q. J. A. Khan and D. Greenhalgh, Hopf Bifurcation in Epidemic Models With a time Delay in Vaccination, IMA J. of MATH. App. In Med. And Biol. V15, p. 1-29, 1999. 28.E.V. Krishnan and Q. J. A. Khan, Lie group of Transformations for Magma Equations, Differential Equations and Control processes, No. 4, p. 49-59, 1998. 29.Q. J. A. Khan, B.S. Bhatt and R.P. Jaju, Switching Model with two Habitats and Predator Involving Group Defence.Journal of Nonlinear Mathematical Physics, V5, No. 2, p.212-229, 1998. 30.Q. J. A. Khan and B.S. Bhatt, An Epidemic Model with Density Dependent Parameters and Vaccination, International Journal of Mathematics and Mathematical Sciences I, Vol. 19, No. 4, p. 805-815, 1996. 31.B.S. Bhatt and Q. J. A. Khan, Stability of An Epidemic Model with Density Dependent Transmission Coefficient and Death Rate, Mathematica Japonica, Vol. 43, No. 3. p. 487-495, 1996. 32.Q. J. A. Khan, B.S. Bhatt and R.P. Jaju, Hopf Bifurcation Analysis of a Predator – Prey System Involving Switching, Journal of the Physical Society of Japan, Vol. 65, No. 3, p. 864-867, 1996. 33.Q. J. A. Khan, B.S. Bhatt and R.P. Jaju, Stability of a Switching Model with Two Habitats and a Predator, Journal of the Physical Society of Japan, Vol. 63, No. 5, P. 19952001, 1994. pg. 5/18 34.Q. J . A. Khan, A SIR Epidemic Model with Density Dependent Death Rate and Transmission Coefficient, Modelling, Measurement and Control. C, Vol. 41, No. 2, P. 2131, 1994. 35.Q. J. A. Khan and B.S. Bhatt, Epidemic Models with Density–Dependent Parameters, Bull. Malaysian Math. Soc. (Second Series) 16, p. 55-71, 1993. 36.J.N. Kapur, M. Salim and Q. J. A. Khan, On Partial Differential Equations for Probability Generating Functions of Certain Stochastic Processes. Acta Ciencia Indica Vol. VIII m, No. 4, p. 223-227, 1982. 37.J.N. Kapur and Q. J. A. Khan, Difference Equation Models in Ecology and Epidemics International Journal of Mathematics. Educ. Sci. Technology Vol. 11, p. 19-37,1981. 38.J.N. Kapur and Q. J. A. Khan, Mathematical Models of Population Growth – II. Indian J. Pure. Appl. Math. Vol 11. No. 3, p. 326-335, March 1980. 39.J.N. Kapur and Q .J. A. Khan, Stability of Differential Equation and Difference Equation System. Indian J. Pure. Appl. Math. No. 4, p. 262-267, 1980. 40J.N. Kapur and Q .J. A. Khan, Relative Stability of Difference and Differential Equations Systems, National Academy of Science, Vol. 2, No. 4, p. 140-142, April 1979. 41.J.N. Kapur and Q. J. A. Khan, Some Mathematical Models for Population Growth. Indian J. Pure. Appl. Math, Vol. 10, No. 3, p. 277-286, March 1979. 42.J.N. Kapur and Q. J. A. Khan, Bifurcation Theory for Two Population Models. Indian J. Pure. Appl. Math, Vol. 9, No. 8, p. 787-796, 1978. Conference Papers [International and Refereed] 1. Q. J. A. Khan, Fatma.A. Al- Kharousi."A Predator-prey Model with Fatal disease in the prey", published in the IIE INT'L Conference Proceeding of 2nd International Conference in Engineering Sciences and Applied Mathematics(ICAESAM2014) May45,2014 Istanbul(Turkey). 2.Q. J. A Khan, M .A. Al – Lawatia,’’Predator–prey relations for mammals where prey suppress breeding’’, published in the proceeding of Satellite Conference of International Congress of Mathematics, N.Delhi,India,14-17 August 2010 on Mathematics in Science and Technology published by World Scientific, Singapore. 3.Q. J. A. Khan, M .A. Al – Lawatia, ”Birds, Rabbits and Cats Interaction Model with switching strategy of Opportunistic Cats, Proceeding IASTED International Conference on Modeling and Simulation, May 26 – 28, Quebec,Canada,2008. 4.Q . J . A. Khan, Balakrishnan. E. ”Eco – Epidemiological model of Salton - sea a realistic approach,ICMOSPS,22 – 24 January, Durban, S. Africa,2007. 5.Q. J. A. Khan, Prey – predators Defensive switching model of Tanganyika lake, Proceeding, WSEAS International conference on Dynamical system and control,Venice,Italy,Nov.2 – 4,2005. pg. 6/18 6.Bhatt, B.S, Q. J. A. Khan, Jaju, R.’’ Switching effect of predation on prey species living in two habitats exhibiting group defense”, Proceeding, WSEAS, International Conference on Dynamical system and Control, Venice, Italy,Nov.2 – 4, 2005. 7.Q. J. A. Khan, A Mathematical Model of Multiparty Political System, Differential Equations and Applications, proceedings of the Second International Conference, SantPetersburg, Russia, June 15-20, 1998. Books and book chapters [Refereed]( Only one chapter) Q. J. A. Khan, Benkherouf, L., Smaoui, N.,’’ Stability and optimal harvesting in a stage structure predator-prey switching strategy’’ Aspects of Mathematical Modelling, Birkhauser Verlag Basel, Switzerland,p65-80,2008 Conference organization, attendance and presentation 1.I attended and presented a paper entitled” Prey-predator Switching Model where only Prey species Harvested”,in the International Conference on Recent Advances in Mathematical Biology, Analysis and Applications(ICMBBA,2015) June4-6,2015,Aligarh Muslim University,Aligarh,INDIA. 2.I attended and presented a paper entitled" A Predator-prey Model with Fatal disease in the prey", in the 2nd International Conference in Engineering Sciences and Applied Mathematics(ICAESAM2014) May4-5,2014 Istanbul(Turkey). 3.I attended and presented a paper entitled ”Predator-prey harvesting model with fatal disease in prey” with Prof. M. A. Al-Lawati . I presented our research work as an invited speaker in an conference entitled” The International Conference on Mathematical and Computer Science” held in Oct. 23-24,2013, Bandung, Indonesia. I WAS ONE OF THE ORGANIZER OF THIS CONFERENCE LOOKING FOR THE SECTION OF BIO-MATHEMATICS. pg. 7/18 4.I attended and presented a paper entitled’’ Release of Breeding Suppression Time Delay Predator-prey model’’ has been accepted for presentation in the International Conference on the Theory, Methods and Applications of Nonlinear Equations.. The conference will be held from December 17- December 21 at Kingsville Texas, U.S.A.. 5.I attended and presented a paper entitled ”Breeding adjustment of small mammals to avoid predation” in 2011 World Conference on Natural Resource Modeling,Ottawa,Canada,June-14- June -17, 2011 6.I delivered a talk entitled” Prey-predator interaction models where prey are of small size and suppress breeding at the time of heavy predation’’ in a workshop organized for the collaboration of SQU Dept. of Mathematics faculty with Cambridge university researchers,2011. 7.I attended and International Congress of Mathematics 2010 on Mathematics in Science and Technology in N.Delhi,India,14-17 August. In this conference I delivered a talk entitled” Predator – prey relations for mammals where prey suppress breeding“. 8.I attended CSEB/APHEO joint conference in Ottawa, Canada, 25 – 28 May, 2009. The theme of the conference was expanding horizon in epidemiology from research into practice. This was a specialized conference mainly devoted to epidemiology. I delivered a talk in the session entitled” Environmental and Occupational epidemiology”. The topic of the talk was “Eco – Epidemiological model of Salton -sea a realistic approach. 9.I attended the IASTED International Conference on Modelling and Simulation May26 – 28,2008 in Quebec, Canada. The International Association of Science and Technology for development hosted the above mentioned conference. The purpose of the conference was to promote economic development through science and technology. In this conference I presented a paper entitled” Birds, Rabbits and Cats interaction model with switching strategy of opportunistic cats’’. 10.Iparticipated in the international conference on Modelling and Optimizationof Structures, Processes and Systems at Durban, South Africa, 22-24 January, 2007. In this conference I delivered a talk entitled” PreyPredator models on Salton sea”. 11.I participated in the International conference on Mathematical Modelling and computation 2006 at University Brunei Darussalam, 5th- 8th June 2006.In this conference I delivered a talk entitled” Optimal harvesting and stability in a stage – structured predator prey model with predator switching”. pg. 8/18 12.I participated in 2005 WSEAS International Conference on Dynamical System and Control at Venice,Italy,Nov.2-4,2005. In this conference I delivered a talk entitled'' Prey-Predators Defensive Switching model of Tanganyika Lake''. 13.I attended Math day 2005 at UAEU, Al –Ain, UAE. I delivered a talk entitled ''Global stability of predator-prey group defense model with predator switching''. 14I attended a conference on MATHEMATICA held at Sultan Qaboos University from Jan.24- Jan26., 2004. 15.I attended Fourth Congress of the International Society for Analysis, its Application and Computation (ISAAC),York University, Toronto, Ontario, Canada August 11-16 , 2003. I also delivered a talk on “A delay differential equation model for the pulsatile release of hormones of the system, the hypothalamus, the pituitary and the testis”. 16.I attended International Congress of the mathematicians ,Beijing, China, August 20-28,2002. I delivered a talk in this conference on “Global Stability of a prey – predator group defense model with predator switching”. 17.I attended a conference on the topic” Mathematical Analysis and Applications “held at the American University Sharjah (U.A.E) from May 2 to 4,2001.I delivered a talk in this conference on” Delay effect analysis in epidemic models of infections” . 18.I attended and chaired a session in the International Conference on Mathematical Sciences at Al-Ain University, U. A. E. on November 21-24, 1999. I delivered a talk in this conference on “Stage Structured Predator-Prey Model Involving Switching”. 19.I attended and delivered a talk on “A Mathematical Model of Multiparty Political System” in the Plenary Session of the Second International Conference on Differential Equations and Application held at the Saint Petersburg State Technical University, Russia, from June 15 to June 20, 1998. 20.I attended a conference and participated in the discussion of “Mathematical Modelling on Population Growth” held at the Harcourt Butler Technological Institute, Kanpur, India, 1979. 20.I attended and delivered a talk on “Relative Stability of Difference and Differential Equations Systems” in the GANIT PARISHAD Conference held at the Lucknow University, India in 1978. pg. 9/18 1. I attended a Conference of Indian Mathematical Society held at IIT., Kanpur, India in 1977. OTHER INFORMATIONS 1. I visited Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, Scotland, U.K. from 11TH Jan.-22nd Jan.2006 and there I gave 50 minutes research seminar entitled ‘’ Prey-predator models and their switching effects’’. 2. I visited Department of Statistics and Modeling Science, University of Strathclyde, Glasgow, Scotland, U.K. from 8TH Sept.- 23rd Sept.2008 and there I gave 50 minutes research seminar entitled ‘’ Mathematical modeling of the pulsatile release of hormones of the hypothalamus, the pituitary and the testis’’. 3.I delivered several talks related to my research work in the departmental seminar series and gave equal number of talks in the Applied Mathematics Seminar series. 4. I displayed my research work by posters at SQU in the year 2002,2003,2010 and 2012 and at Strathclyde University, U.K.,2011. 5.The organizing committee of the Tenth International colloquium on Differential Equations invites me to deliver a forty-minutes invited lecture at the colloquium in Plovdiv, Bulgaria, 18-23 August, 1999. Scholarly activities and membership of professional bodies 1. I am an editor of the IAENG International Journal of Applied Mathematics (International Association of Engineers) Journal since 2007. 2. I am a regular referee of the Journal of Biological System and Elsevier journals. . A. Research grants and collaboration: Local, Regional and International pg. 10/18 Principal Investigator: 1. I had a two years research grant( Account No. IG/SCI/DOMS/01/03) financed by SQU for the research project entitled ‘’ Prey-predator models with group defense’’. Outcome of the research: We published three research papers in International refereed journals .Please see # 9,10 and 12 of the publication list. 2. I had a two years research grant ( Account No. IG/SCI/DOMS/03/05) from SQU for the research project entitled ‘’ The stage- structured predator-prey model with predatory switching and optimal harvesting’’. Outcome of the research: We published our research work as a chapter in the book. Please see publication list in the section chapter in a book. 3. I was holding a research grant (Account No.IG/SCI/DOMS/05/05) from SQU for the research project entitled, ”Eco – Epidemiological Models of Salton Sea”. I visited Department of Statistics and Modelling Science, University of Strathclyde, Glasgow, Scotland, U.K. for the period 11th January – 22nd January, 2006 to pursue collaborative work with Prof. David Greenhalgh on Prey – Predator mathematical models of Salton Sea. During my visit I got the opportunity to interact with the various members of the department. Outcome of the research: We published two research papers. One in the proceeding of the conference# 3 and second accepted for publication # 2 (Publication list). 4. I was holding a research grant(Account No. IG/SCI/DOMS/07/04) from SQU for the research project entitled” Mathematical Modelling of The Pulsatile Release of Hormones of The Hypothalmus, The Pituitary and The Testis”. Prof. David Greenhalgh from the university of Strathclyde, Glasgow, Scotland, U. K. visited DOMAS, from 8sept.2007 to 23rd Sept.2007 for the collaborative research work in this project. I also visited university of strathclyde to complete my project since 23rd Aug. – 2nd Sept., 2008. Outcome of the research: We published two research papers in international journals in this project. Please see # 6 and 8 of the publication list. 5. I had a research grant code number (IG/SCI/DOMS/09/10) financed by S.Q.U. for the research project entitled” Superpredator, Mesopredator and prey interaction models and strategies to protect prey population”. Prof. David Greenhalgh from the university of Strathclyde, Glasgow, Scotland, U. K. pg. 11/18 visited DOMAS, from 14thjuly, 2009 to 29thjuly, 2009 for the collaborative research work in this project. I visited Department of Mathematics and Statistics, University of Strathclyde, Glasgow for the period 4th june2010 to 18thjune 2010 inclusive to conduct joint research with Dr. David Greenhalgh in Mathematical Biology. Outcome of the research: We published two research papers. One in an International journal and second in the proceeding of an international conference. Please see # 5 (publication list) and # 2 (Conference papers). 6. I am holding a research grant with project No. (IG/SCI/DOMS/11/05) financed by SQU for the research project entitled’’ The dynamics of predator-prey models with disease in the prey’’. Project is in progress. Co-investigator: 1. I was a co-investigator in a research project entitled ‘’ Group invariant solutions of differential equations’’ with Prof. E. V. Krishnan as a principal investigator. We started the project in Feb. 1998. 2. I was a co-investigator in a research project number( IG/SCI/DOMS/01/06) entitled ‘’ Lie group of transformations for shallow water wave equations’’ with Prof. E. V. Krishnan as a principal investigator. International Collaboration: 1. New Zealand: My work with Prof. G. C. Wake ,University of Christchurch initiated when he visited S.Q.U. as an external examiner. This has led to one journal paper in Bull. Math. Biol. 2. U.K.: We have started joint work with Prof. G. D. Ruxton, University of Glasgow. One joint journal paper has been published. 3. U.K.: We are involved in joint work with Dr. David Greenhalgh, university of Strathclyde, Glasgow on epidemic models, HIV models and Hormones models. Six journal articles have appeared and one is under preparation. 4. Egypt : We have done joint work with Prof. A. F. Ghaleb, university of Cairo. One joint journal paper has been published from this work. pg. 12/18 5. Trinadad and Swaziland: We have done joint work with Prof. B. S. Bhatt, university of West Indies and Dr. R. Jaju, university of Swaziland. We have published nine research journal papers. 6. India: I am collaborating on a project entitled “ Long term dynamics in a mathematical model of HIV-1 infection with delay in different variants of the basic drug therapy model’’ with Dr. Priti Kumar Roy, Amernath Chatterjee, Center of Mathematical Biology and Ecology, Dept. of Mathematics, Jadavpur University, Kolkata, India and Prof. David Greenhalgh Dept. of Statistics and Modeling Science, Univ. of Strathclyde, Scotland, U.K. One paper on this project has been accepted in the journal of Nonlinear Analysis, Series B: Real world applications. Regional Collaboration: 1. Kuwait: We have done joint work with Prof. L. Benkherouf and Prof. N. Smaoui and we published our work as a chapter in a refereed book. Local Collaboration: I collaborated with Prof. M. A. Al-Lawatia, Prof. E. V. Krishnan, Dr. E. Balakrishnan , in various different projects and published research papers in International journals. Details can be find out from list of publications. pg. 13/18