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

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

Keywords: Predator-prey System; Stage Structure; Holling type II; Harvesting

Published
2019-12-22
Section
Articles

Journal Identifiers


eISSN: 2507-7961
print ISSN: 0856-1761