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Phase Portraits Of An Epidemic model With Incident Rates

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thesis
posted on 24.05.2021, 15:17 by Thi D. Doan
In this thesis, an epidemic model with nonlinear incidence rate is investigated. The ranges of the parameters involved in the model are given under which the equilibria are positive. By carrying out the qualitative behaviour analysis, it is shown the disease free equilibrium can exhibit saddle-nodes, saddle point or stable node depending on the ranges of the parameters. It is shown that the interior equilibria are saddle point, stable or focus nodes. Furthermore, several numerical solution and graphics are given to support the theoretical analysis.

History

Language

eng

Degree

Master of Science

Program

Applied Mathematics

Granting Institution

Ryerson University

LAC Thesis Type

Thesis

Thesis Advisor

Kunquan Lan