On the global stability of the endemic state in an epidemic model with vaccination

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Parsamanesh Mahmood; FARNOOSH RAHMAN

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Journal: MATHEMATICAL SCIENCES Year:2018 | Volume:12 | Issue:4 Page(s): 313-320

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Title

On the global stability of the endemic state in an epidemic model with vaccination

Author(s)

Parsamanesh Mahmood | FARNOOSH RAHMAN | Issue Writer Certificate

Keywords

SIS epidemic model

Vaccination

Endemic equilibrium

Global stability

Geometric approach

Abstract

This paper investigates an SIS epidemic model with variable population size including a Vaccination program. Dynamics of the Endemic equilibrium of the model are obtained, and it will be shown that this equilibrium exists and is locally asymptotically stable when  0 > 1. In this case, the disease uniformly persists, and moreover, using a Geometric approach we conclude that the model is globally asymptotically stable under some conditions. Also, a numerical discussion is given to verify the theoretical results.

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APA: Copy

Parsamanesh, Mahmood, & FARNOOSH, RAHMAN. (2018). On the global stability of the endemic state in an epidemic model with vaccination. MATHEMATICAL SCIENCES, 12(4), 313-320. SID. https://sid.ir/paper/322713/en

Vancouver: Copy

Parsamanesh Mahmood, FARNOOSH RAHMAN. On the global stability of the endemic state in an epidemic model with vaccination. MATHEMATICAL SCIENCES[Internet]. 2018;12(4):313-320. Available from: https://sid.ir/paper/322713/en

IEEE: Copy

Mahmood Parsamanesh, and RAHMAN FARNOOSH, “On the global stability of the endemic state in an epidemic model with vaccination,” MATHEMATICAL SCIENCES, vol. 12, no. 4, pp. 313–320, 2018, [Online]. Available: https://sid.ir/paper/322713/en

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