A DELAYED DISCRETE MULTI-GROUP NONLINEAR EPIDEMIC MODEL WITH VACCINATION AND LATENCY

Jing Hu; Zhijun Liu; Lianwen Wang; Ronghua Tan

doi:10.11948/20190405

2021 Volume 11 Issue 1

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Jing Hu, Zhijun Liu, Lianwen Wang, Ronghua Tan. A DELAYED DISCRETE MULTI-GROUP NONLINEAR EPIDEMIC MODEL WITH VACCINATION AND LATENCY[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 287-308. doi: 10.11948/20190405

Citation:

Jing Hu, Zhijun Liu, Lianwen Wang, Ronghua Tan. A DELAYED DISCRETE MULTI-GROUP NONLINEAR EPIDEMIC MODEL WITH VACCINATION AND LATENCY[J]. Journal of Applied Analysis & Computation, 2021, 11(1): 287-308. doi: 10.11948/20190405

A DELAYED DISCRETE MULTI-GROUP NONLINEAR EPIDEMIC MODEL WITH VACCINATION AND LATENCY

1.
Department of Mathematics, Hubei Minzu University, Enshi, Hubei 445000, China

Corresponding author: Email address: zjliu@hbmzu.edu.cn (Z. Liu)
Fund Project: The authors were supported by National Natural Science Foundation of China (Nos. 11871201; 11961023) and Natural Science Foundation of Hubei Province (No. 2019CFB241)

Abstract

Abstract

A delayed discrete multi-group nonlinear epidemic model with vaccination and latency is derived by the application of a nonstandard finite difference scheme. It is proved that the extinction and persistence of the disease are determined by a threshold parameter in term of the basic reproduction number $ R $. More precisely, when $ R\leq 1 $ the disease goes to extinction with the globally asymptotically stable disease-free equilibrium, while the disease is persistent with the globally asymptotically stable endemic equilibrium when $ R>1 $.
- Discrete epidemic model /
- multi-group /
- delay /
- vaccination /
- latency
MSC: 34K20, 34K25, 92D30

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References

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