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A study on predator- prey systems with immigrant prey with and without harvesting

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dc.creator Kinyaga, Justine C.
dc.date 2019-08-18T11:17:46Z
dc.date 2019-08-18T11:17:46Z
dc.date 2015
dc.date.accessioned 2021-05-06T12:58:59Z
dc.date.available 2021-05-06T12:58:59Z
dc.identifier Kinyaga, J. C. (2015). A study on predator- prey systems with immigrant prey with and without harvesting. Dodoma: The University of Dodoma
dc.identifier http://hdl.handle.net/20.500.12661/798
dc.identifier.uri http://hdl.handle.net/20.500.12661/798
dc.description Dissertation (MSc Mathematics)
dc.description The study of predator prey model with immigrant prey with and without harvesting has received great attention from both theoretical and mathematical biologists and has been studied intensively and extensively. Different literatures on interaction between species have been surveyed. In this document we establish sufficient stability criteria, criteria for the existence of periodic solution and Hopf bifurcations of a predator prey systems with immigrant prey without and with harvesting of predator. The ecological system in nature can be balanced by introducing an immigrant prey to ensure existence of both preys and predators. Harvesting of predator also can be used as a stabilizing factor as far as they depend on prey for their survival. The approach involves the use of software program (mat lab) in analyzing Equilibrium points, periodic solutions, Hopf bifurcations and its related theorems.
dc.language en
dc.publisher The University of Dodoma
dc.subject Hopf bifurcations
dc.subject Predator prey model
dc.subject Immigrant prey
dc.subject Equilibrium points
dc.subject Periodic solutions
dc.subject Harvesting predator
dc.subject Predator prey systems
dc.title A study on predator- prey systems with immigrant prey with and without harvesting
dc.type Dissertation


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