Tanzania Journal of Science
Journal / Tanzania Journal of Science / Vol. 45 No. 3 (2019) / Articles
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 Open Access
Published:
Dec 22, 2019
DOI:
Keywords:
Predator-prey System Stage Structure Holling type II Harvesting

Article Details

Issue
Vol. 45 No. 3 (2019)
Section
Articles

Copyright for articles published in this journal is retained by the journal.

This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge

Main Article Content

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

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

Journal Identifiers


eISSN: 2507-7961
print ISSN: 0856-1761
 
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