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

Jacob  Lyimo; Nyimvua  Shaban; Eunice  Mureithi; Thadei  Sagamiko

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.

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Published

08-03-2021

How to Cite

Lyimo, J. ., Shaban, N. ., Mureithi, E. ., & Sagamiko, T. . (2021). Modelling and Analysis of a Holling Type II Stage Structured Predator-Prey System in the Presence of Harvesting. Tanzania Journal of Science, 45(3), 477–489. Retrieved from https://tjs.udsm.ac.tz/index.php/tjs/article/view/216