Assessing Biological Control through Additional Food and Harvesting in Cannibalistic Natural Enemy-Pest Model

DeepakTripathi

ABV-Indian Institute of Information Technology and Management Gwalior, M.P., India

"Assessing Biological Control through Additional Food and Harvesting in Cannibalistic Natural Enemy-Pest Model"

In the present work, using the theory of dynamical system, we discuss the dynamics of a cannibalistic predator prey model in the presence of linear harvesting schemes in prey (pest) population and provision of additional food to predators (natural enemies). A detailed mathematical analysis and numerical evaluations have been presented to discuss the pest free state, coexistence of species, stability, occurrence of different bifurcations (saddle-node, transcritical, Hopf, Bogdanov-Takens) and the impact of additional food and harvesting schemes on the dynamics of the system. Interestingly, we also observe that the pest population density decreases immediately even when small amount of harvesting is implemented. Also the eradication of pest population (stable pest free state) could be achieved via variation in the additional food and implemented harvesting schemes. The individual effects of harvesting parameters on the pest density suggest that the linear harvesting scheme is more effective to control the pest population rather than constant and nonlinear harvesting schemes.
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