Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy | Zendy

Jaouad Danane | Zendy; Karam Allali | Zendy; Zakia Hammouch | Zendy; Kottakkaran Sooppy Nisar | Zendy

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Mathematical analysis and simulation of a stochastic COVID-19 Lévy jump model with isolation strategy

Author(s) -

Jaouad Danane,

Karam Allali,

Zakia Hammouch,

Kottakkaran Sooppy Nisar

Publication year - 2021

Publication title -

results in physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.743

H-Index - 56

ISSN - 2211-3797

DOI - 10.1016/j.rinp.2021.103994

Subject(s) - uniqueness , jump , white noise , isolation (microbiology) , stochastic modelling , statistical physics , epidemic model , covid-19 , mathematics , physics , mathematical analysis , statistics , biology , bioinformatics , medicine , population , demography , disease , pathology , quantum mechanics , sociology , infectious disease (medical specialty)

This paper investigates the dynamics of a COVID-19 stochastic model with isolation strategy. The white noise as well as the Lévy jump perturbations are incorporated in all compartments of the suggested model. First, the existence and uniqueness of a global positive solution are proven. Next, the stochastic dynamic properties of the stochastic solution around the deterministic model equilibria are investigated. Finally, the theoretical results are reinforced by some numerical simulations.

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