Analysis of prey-predator interaction in the presence of alternative prey and toxici

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dc.contributor.authorTresphory, Anthony Kasabago
dc.date.accessioned2019-12-06T12:30:20Z
dc.date.accessioned2020-01-07T15:46:16Z
dc.date.available2019-12-06T12:30:20Z
dc.date.available2020-01-07T15:46:16Z
dc.date.issued2014
dc.descriptionAvailable in print form, East Africana Collection, Dr. Wilbert Chagula Library, Class mark (THS EAF QL758.T73)en_US
dc.description.abstractIn this work, a non-linear model has been proposed and analysed for a population to study prey-predator interactions in the presence of alternative prey and toxicity. The model is found to be well posed and solutions exist in a feasible region where equilibrium points are obtained and their stability investigated. It integrates the effect of toxicity in both prey and predator population. The equilibrium points are found to be locally stable and globally asymptotically stable under certain conditions. The model analysis shows that the immense amount of toxin the menace for both populations to go to extinction. The study proves that the higher the prey population size, the lower predator population size leading to its extinction.Finally, with the help of numerical simulations, it is observed that the increase of toxin tends to lower both populations. It is also shown that the toxicity can be controlled.en_US
dc.identifier.citationTresphory, A.K. (2014) Analysis of prey-predator interaction in the presence of alternative prey and toxici, Master dissertation, University of Dar es Salaam, Dar es Salaamen_US
dc.identifier.urihttp://localhost:8080/xmlui/handle/123456789/1846
dc.language.isoenen_US
dc.publisherUniversity of Dar es Salaamen_US
dc.subjectPredator animalsen_US
dc.subjectMathematical modelsen_US
dc.titleAnalysis of prey-predator interaction in the presence of alternative prey and toxicien_US
dc.typeThesisen_US

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