Journal of applied mathematics & informatics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
권호 표지

DYNAMICAL ANALYSIS OF A PLANT-HERBIVORE MODEL : BIFURCATION AND GLOBAL STABILITY

  • SAHA TAPAN (Department of Applied Mathematics, University of Calcutta) ;
  • BANDYOPADHYAY MALAY (Department of Mathematics, Scottish Church College)
  • Published : 2005.09.01

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Abstract

The first part of the paper deals with a brief introduction of the plant-herbivore model system along with deterministic analysis of local stability and Hopf-bifurcations. The second part consists of stability analysis of the limit cycle arising from Hopf-bifurcation and uniqueness of limit cycle. The third part deals with the study of global stability of the model system under consideration.

Keywords