DETERMINISTIC AND STOCHASTIC ANALYSIS OF A COVID-19 SPREAD MODEL

被引：2

作者：

Zeb, Anwar ^{[1
]}

Atangana, Abdon ^{[2
,3
]}

Khan, Zareen A. ^{[4
]}

机构：

[1] COMSATS Univ Islamabad, Dept Math, Abbottabad Campus, Abbottabad 22060, Pakistan

[2] Univ Free State, Fac Nat & Agr Sci, Bloemfontein, South Africa

[3] China Med Univ, China Med Univ Hosp, Dept Med Res, Taichung, Taiwan

[4] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math Sci, POB 84428, Riyadh 11671, Saudi Arabia

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2022年 / 30卷 / 05期

关键词：

COVID-19 Mathematical Model; Quarantine Class; Vaccination; Stability; Stochastic Model; Extinction; Newton Polynomial Scheme; DYNAMICS;

D O I：

10.1142/S0218348X22401636

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper deals with the global dynamics of deterministic-stochastic COVID-19 mathematical model with quarantine class and incorporating a preventive vaccination. Lyapunov functions are utilized for the global stability of disease free equilibrium point and the graph theoretic method is used for the construction of Lyapunov function for positive equilibrium point. The stability of model is discussed regarding the reproductive number. Utilizing the non-standard finite difference scheme for the numerical solution of the deterministic model, the obtained results are shown graphically. Further, environmental noises are added to the model for description of stochastic model. Then we take out the existence and uniqueness of positive solution with extinction for infection. Finally, we solve numerically the stochastic model using Newton Polynomial scheme and present the results graphically.

引用

页数：17

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