Minimal wave speed in a diffusive epidemic model with temporal delay

Guosheng Zhang; Yifu Wang

doi:10.1016/j.amc.2006.09.112

Minimal wave speed in a diffusive epidemic model with temporal delay

Guosheng Zhang, Yifu Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

3 Citations (Scopus)

Abstract

Taking incubation period into account, we modify Capasso et al.'s epidemic model and consider a reaction-diffusion system with time delay. By the method of upper and lower solutions to a related second-order ordinary differential equation with infinite time delay, we establish the existence of the minimal wave speed for the modified epidemic model, and show that incubation period reduces the minimal wave speed of epidemic model indeed.

Original language	English
Pages (from-to)	275-280
Number of pages	6
Journal	Applied Mathematics and Computation
Volume	188
Issue number	1
DOIs	https://doi.org/10.1016/j.amc.2006.09.112
Publication status	Published - 1 May 2007

Keywords

Diffusive epidemic model
Minimal wave speed
Time delay
Travelling waves
Upper and lower solutions

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10.1016/j.amc.2006.09.112

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abstract = "Taking incubation period into account, we modify Capasso et al.'s epidemic model and consider a reaction-diffusion system with time delay. By the method of upper and lower solutions to a related second-order ordinary differential equation with infinite time delay, we establish the existence of the minimal wave speed for the modified epidemic model, and show that incubation period reduces the minimal wave speed of epidemic model indeed.",

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author = "Guosheng Zhang and Yifu Wang",

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AU - Wang, Yifu

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AB - Taking incubation period into account, we modify Capasso et al.'s epidemic model and consider a reaction-diffusion system with time delay. By the method of upper and lower solutions to a related second-order ordinary differential equation with infinite time delay, we establish the existence of the minimal wave speed for the modified epidemic model, and show that incubation period reduces the minimal wave speed of epidemic model indeed.

KW - Diffusive epidemic model

KW - Minimal wave speed

KW - Time delay

KW - Travelling waves

KW - Upper and lower solutions

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Minimal wave speed in a diffusive epidemic model with temporal delay

Abstract

Keywords

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