Journal
NONLINEAR DYNAMICS
Volume 74, Issue 3, Pages 667-683Publisher
SPRINGER
DOI: 10.1007/s11071-013-0996-3
Keywords
Eco-epidemic; Hopf bifurcation; Transcritical bifurcation; Global stability; Optimal control
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Funding
- University Grants Commission, Government of India [F. 11-2/2002 (SA-1)]
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In this paper, we propose and analyze an ecological system consisting of pest and its natural enemy as predator. Here we also consider the role of infection to the pest population and the presence of some alternative source of food to the predator population. We analyze the dynamics of this system in a systemic manner, study the dependence of the dynamics on some vital parameters and discuss the global behavior and controllability of the proposed system. The investigation also includes the use of pesticide control to the system and finally we use Pontryagin's maximum principle to derive the optimal pest control strategy. We also illustrate some of the key findings using numerical simulations.
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