A Stochastic Model for General Multi-Host Epidemic Models based on mean and variance

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
Pathogenic factors can affect several groups of an epidemic. In this paper, by using the Brownian motion, an Ito stochastic differential equation is presented to express the stochastic behavior of an infected disease based on mean and variance. The model includes different species of population with the presence of suspected, exposed, infected and immune types. The model covers all the previous models including SI, SIS, SIR, SEIR, and SIRS. Also, the incubation, an important period in the epidemic, is considered. Finally, a few numerical examples of this model's behavior are presented.
Language:
Persian
Published:
Journal of Advances in Mathematical Modeling, Volume:11 Issue: 3, 2021
Pages:
481 to 495
https://www.magiran.com/p2337795  
سامانه نویسندگان
  • Corresponding Author (2)
    Bahman Ghazanfari
    Associate Professor Applied Mathematics, Department of Mathematics, Lorestan University, University of Lorestan, Khorramabad, Iran
    Ghazanfari، Bahman
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