Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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DYNAMICS OF A PREY-PREDATOR INTERACTION WITH HASSELL-VARLEY TYPE FUNCTIONAL RESPONSE AND HARVESTING OF PREY

  • BHATTACHARYYA, ANINDITA (Department of Mathematics, Amity University) ;
  • MONDAL, ASHOK (Department of Mathematics, Regent Education and Research Foundation) ;
  • PAL, A.K. (Department of Mathematics, Seth Anandram Jaipuria College) ;
  • SINGH, NIKHITA (Department of Mathematics, Amity University)
  • Received : 2021.05.31
  • 심사 : 2021.10.28
  • 발행 : 2022.09.30
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초록

This article aims to study the dynamical behaviours of a two species model in which non-selective harvesting of a prey-predator system by using a reasonable catch-rate function instead of usual catch-per-unit-effort hypothesis is used. A system of two ordinary differential equations(ODE's) has been proposed and analyzed with the predator functional response to prey density is considered as Hassell-Varley type functional responses to study the dynamics of the system. Positivity and boundedness of the system are studied. We have discussed the existence of different equilibrium points and stability of the system at these equilibrium points. We also analysed the system undergoes a Hopf-bifurcation around interior equilibrium point for a various parametric values which has very significant ecological impacts in this work. Computer simulation are carried out to validate our analytical findings. The biological implications of analytical and numerical findings are discussed critically.

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과제정보

The authors are grateful to the anonymous referees and the Editor in chief (Prof. Cheon Seoung Ryoo) for their careful reading, valuable comments and helpful suggestion, which have helped them to improve the presentation of this work significantly.

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