具有时滞的离散扩散疫苗接种模型的行波解

Abstract

Abstract:

This paper considers the traveling wave solutions of a discrete diffusion vaccination model with time delay. The model comprehensively considers factors such as natural population growth, infection, recovery, and vaccination, as well as the time delay effect of direct contact infection between susceptible individuals, vaccinated individuals, and infected individuals. By establishing appropriate lattice dynamical system, the existence and asymptotic behavior of the traveling wave solutions are obtained. Further results indicate that vaccination rates, the mobility of infected individuals, and transmission rates have a significant impact on the formation and speed of traveling wave solutions. These findings have important theoretical and practical significance for formulating effective vaccination strategies and controlling the spread of infectious diseases.

Key words: traveling wave solution, vaccination, diffusion epidemic model, lattice dynamical system, Lyapunov functional

CLC Number:

O175

Wenbin Wu, Xue Ren, Ran Zhang. Traveling Waves for a Discrete Diffusive Vaccination Model with Delay[J].Acta mathematica scientia,Series A, 2025, 45(3): 858-874.

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Traveling Waves for a Discrete Diffusive Vaccination Model with Delay

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