An eco-epidemiological model with nonlinear incidence and infective prey treatment class

Date

2015

Journal Title

Journal ISSN

Volume Title

Publisher

University of Dar es Salaam

Abstract

In this work, an eco-epidemiological model with nonlinear incidence and infective prey treatment class is proposed and analysed. The model is found to be well posed and solutions exist in a feasible region where equilibrium points are obtained and their stabilities are investigated. The equilibrium points are found to be locally stable and globally asymptotically stable under certain conditions. The model analysis shows that treatment of infective prey has a potential positive impact to save population from extinction. Finally, numerical simulations are performed. It is observed that the increase of treatment rate tends to increase both susceptible prey as well as predator population.

Description

Available in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QL758T46)

Keywords

Predation (Biology), Mathematical models, Tanzania

Citation

Tengaa, P.E. (2015) An eco-epidemiological model with nonlinear incidence and infective prey treatment class, Master dissertation, University of Dar es Salaam, Dar es Salaam