An SEIR model with modified saturated incidence rate and Holling type II treatment function-Reference-Cited by-同舟云学术

An SEIR model with modified saturated incidence rate and Holling type II treatment function

Published:2023-01-01 Issue:1 Volume:11 Page:
ISSN:2544-7297
Container-title:Computational and Mathematical Biophysics
language:en
Short-container-title:

Author:

Umdekar Shilpa¹,Sharma Praveen Kumar²,Sharma Shivram³

Affiliation:

1. Faculty of Doctoral Studies and Research (FDSR), Shri Vaishnav Vidyapeeth Vishwavidyalaya , Indore 453111 , Madhya Pradesh , India

2. Department of Mathematics, SVIS, Shri Vaishnav Vidyapeeth Vishwavidyalaya , Indore 453111 , Madhya Pradesh , India

3. Department of Mathematics, Govt. P.G. College , Guna 473001 Madhya Pradesh , India

Abstract

Abstract In this article, the behavior of an susceptible exposed infected recovered (SEIR) epidemic model with nonlinear incidence rate and Holling type II treatment function is presented and analyzed. Reproduction number of the model is calculated. Equilibrium points are determined. Disease-free equilibrium exists when R0 is below 1. Behavior of disease-free equilibrium is examined at R0 = 1. Endemic equilibrium exists when R0 crosses 1. Stability of both equilibrium points is investigated locally and globally. Simulation is provided to support the result.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Computational Mathematics,Mathematical Physics,Molecular Biology,Biophysics

Link

https://www.degruyter.com/document/doi/10.1515/cmb-2022-0146/pdf

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