Dynamic Analysis of Prey-Predator Model with Harvesting

  • Puskar R. Pokhrel Department of Mathematics, Ratna Rajya Laxmi Campus, Tribhuvan University, Kathmandu
  • Bhabani Lamsal Sagarmatha College of Science and Technology, Tribhuvan University, Lalitpur
Keywords: Harvesting efforts, Ordinary differential equation, Prey-predator model, Runge - Kutta fourth order method

Abstract

Employing the Lotka -Voltera (1926) prey-predator model equation, the system is presented with harvesting effort for both species prey and predator. We analyze the stability of the system of ordinary differential equation after calculating the Eigen values of the system. We include the harvesting term for both species in the model equation, and observe the dynamic analysis of prey-predator populations by including the harvesting efforts on the model equation. We also analyze the population dynamic of the system by varying the harvesting efforts on the system. The model equation are solved numerically by applying Runge - Kutta fourth order method.

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Abstract
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Published
2020-12-31
Section
Articles