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Plenary Lecture

Switching of Predation on Prey Species in the Presence of Predator Interference

Professor Balswaroop Bhatt
Department of Mathematics and Computer Science,
The University of the West Indies,
St. Augustine, Trinidad and Tobago, W.I.


Abstract: The present study deals with a prey- predator model where the prey can freely move within two habitats and the predator can switch to the habitat with most abundant species. The predation has been studied in the presence of predator interference. The stability analysis has been carried out for non zero equilibrium values. Conversion rate of the prey to predator has been taken as a bifurcation parameter and for select data sets, bifurcation points have been found. Interestingly, contrary to the earlier work, all the three types of situations, namely – no bifurcation, single and multiple bifurcations exist.

 

Brief Biography of the Speaker:
Prof. B. Bhatt received the B.Sc.(1969), M.Sc.(1971)and the Ph.D.( Jan. 1976) in Fluid Dynamics from University of Rajasthan, Jaipur, India and a Fellow of the Institute of Mathematics and its Application, UK [FIMA].
Prof. Bhatt has been the Head of Mathematics and Computer Science Department in the University of the West indies, St. Augustine, Trinidad during June 2002- July 2005.
His research interest is in Fluid Dynamics( Newtonian and non- Newtonian fluid flos, MHD and flow through porous media) and Bio- Mathematics( epidemic models and prey- predator models).
He has published 68 papers in leading journals of the world [ e.g. JFM, QJMAM, Physics of Fluids, J. Appl. Phys., ZAMM, Rehol. Acta, J. Theor. Biology, J. Physical Soc. Japan, Wear, Appl. Sci. Res., J. de Mec., Proc. Ind. Acad. Sc., Indian J. Pure & Appl. Maths.].
He has received the award of ACU Academic Staff Fellowship tenable at DAMTP, Cambridge, U.K.(during 1986-87), a Fellowship of British Petroleum of Trinidad and Tobago tenable at University College London and DAMTP, University of Cambridge, U.K.(during October - December 2004).
He has been reviewer of Applied Mechanics Reviews, Zentralblatt fur Mathematik. He is on the editorial board of Matematicas Enseanza Universitaria. He has refereed papers for Indian Journal of Pure and Applied Mathematics, Indian Journal of Mathematics, Canadian journal of Physics,Journal of Lubrication Technology, Applied Mathematical Letters , J. Eng. Maths. and J. Porous Media.

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