Lotka-Volterra Model with Prey-Predators Food Chain

  • A.G. Farhan Department of Mathematics, College of Basic Education, Mustansiriyah University, Baghdad, Iraq
Keywords: Prey, Predator, Equilibrium points, Local stability

Abstract

In this work, we consider a modification of the Lotka-Volterra food chain model of three species, each of them is growing logistically. We found that the model has eight equilibrium points, four of them always exist, while the rest exist under certain conditions. In terms of stability, we found that the system has five unstable equilibrium points, while the rest points are locally asymptotically stable under certain satisfying conditions. Finally, we provide an example to support the theoretical results.

Published
2020-05-17
How to Cite
FarhanA. (2020). Lotka-Volterra Model with Prey-Predators Food Chain. Iraqi Journal of Science, 56-63. https://doi.org/10.24996/ijs.2020. SI.1.8