An eco-epidemiological model with nonlinear incidence and infective prey treatment class
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Date
2015
Authors
Journal Title
Journal ISSN
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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