Modelling and Analysis of a Holling Type II Stage Structured Predator-Prey System in the Presence of Harvesting

Authors

  • Jacob Lyimo Department of Mathematics, University of Dar es Salaam, P. O. Box 35065, Dar es Salaam, Tanzania
  • Nyimvua Shaban Department of Mathematics, University of Dar es Salaam, P. O. Box 35065, Dar es Salaam, Tanzania
  • Eunice Mureithi Department of Mathematics, University of Dar es Salaam, P. O. Box 35062, Dar es Salaam, Tanzania.
  • Thadei Sagamiko Department of Mathematics, Dar es Salaam University College of Education, P. O. Box 2329, Dar es Salaam, Tanzania

Keywords:

Predator-prey System, Stage Structure, Holling type II, Harvesting

Abstract

The effect of harvesting and predation on a Holling type II stage-structured predator-prey system with assumption that harvesting and predation happen only to mature preys was investigated. Stability of interior point was analysed using Routh Hurwith Criterion. Numerical simulations were carried out. The results show that harvesting and predation have strong negative impacts on population dynamics of stage structured predator-prey system.

☍ View Article Analytics

Downloads

Published

2021-03-08

Issue

Vol. 45 No. 3 (2019)

Section

Articles

License

Authors who publish in The Eastern Africa Law Review retain the copyright to their work and grant the University of Dar es Salaam a non-exclusive license to publish, reproduce, and distribute the article.

This article is published under the Creative Commons Attribution 4.0 International (CC BY 4.0) License, which permits unrestricted use, distribution, adaptation, and reproduction in any medium, provided the original work is properly cited.