Dynamical analysis of a plant-herbivore model bifurcation and global stability |
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| Authors: | Tapan Saha Malay Bandyopadhyay |
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| Affiliation: | 1. Department of Applied Mathematics, University of Calcutta, 700 009, Kolkata, India
2. Department of Mathematics, Scottish Church College, 700 006, Kolkata, India
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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. |
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