Dynamical Behavior of the SEIS Infectious Disease Model with White Noise Disturbance
نویسندگان
چکیده
Mathematical model plays an important role in understanding the disease dynamics and designing strategies to control spread of infectious diseases. In this paper, we consider a deterministic SEIS with saturation incidence rate its stochastic version. To begin with, propose epidemic obtain basic reproduction number R 0 . Our investigation shows that has two kinds equilibria points, is, disease-free equilibrium id="M2"> E endemic id="M3"> ∗ The conditions asymptotic behaviors are determined by threshold parameters id="M4"> id="M5"> c When id="M6"> < 1 , id="M7"> is locally asymptotically stable, it unstable when id="M8"> > id="M9"> stable id="M10"> addition, show system exists unique positive global solution. Conditions id="M11"> d σ ˇ 2 / id="M12"> s used extinction exponent. Finally, version stationary distribution ergodicity holds id="M13"> constructing appropriate Lyapunov function. theoretical finding supported numerical simulations. aim our analysis assist policy-maker prevention for maximum effectiveness.
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ژورنال
عنوان ژورنال: Journal of Mathematics
سال: 2022
ISSN: ['2314-4785', '2314-4629']
DOI: https://doi.org/10.1155/2022/2747320