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Optimal Conrol Measures of Beddington De Angelis Response of Lotka Volterra Model

S. Saranya

Abstract



This paper presents a mathematical mode1 of the spread of disease in a prey population. Controls methods include isolation control, ie. separating the harvest from the infected crop through self-quarantine, and other medical control that reduces the mortality caused by the disease. To determine the impact 0f parameters that govern disease spread and species c0existence, a loca1 study of the m0del is conducted ar0und the disease-free equi1ibrium and the endemic equi1ibrium. The majority of the analytical findings are explained using some numerical solutions.

Keywords


Functional Response, Lotka Volterra, Optimal Control

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