An SEIR Epidemic Model with Diffusion

  • VIJAI SHANKER VERMA Department of Mathematics and Statistics Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur-273009, India
  • Archana S. Bhadauria Department of Mathematics and Statistics Deen Dayal Upadhyaya Gorakhpur University, Gorakhpur-273009, India

Abstract

In this paper, we study an SEIR epidemic model with diffusion. The model is
analyzed using stability theory of differential equations. Equilibrium points and
conditions of local stability of the system are determined. Basic reproduction
number of the model is computed by next generation matrix approach. It is
observed that endemic equilibrium point exists only if basic reproduction number
is greater than one otherwise disease vanishes from the system. Further, it is
observed that diffusion plays a significant role in stability of the system.

Published
2022-11-08

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