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

Section

Mathematics and Computational Sciences

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.

Recommended Citation

Lyimo, Jacob; Shaban, Nyimvua; Mureithi, Eunice; and Sagamiko, Thadei (2019) "Modelling and Analysis of a Holling Type II Stage Structured Predator-Prey System in the Presence of Harvesting," Tanzania Journal of Science: Vol. 45: Iss. 3, Article 16.
Available at:https://doi.org/10.65085/2507-7961.1700