Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse

Ruofeng Rao, Zhi Lin, Xiaoquan Ai and Jiarui Wu
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Ruofeng Rao: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Zhi Lin: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Xiaoquan Ai: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China
Jiarui Wu: Department of Mathematics, Chengdu Normal University, Chengdu 611130, China

Mathematics, 2022, vol. 10, issue 12, 1-10

Abstract: This paper reports the construction of synchronization criteria for the delayed impulsive epidemic models with reaction–diffusion under the Neumann boundary value. Different from the previous literature, the reaction–diffusion epidemic model with a delayed impulse brings mathematical difficulties to this paper. In fact, due to the existence of second-order partial derivatives in the reaction–diffusion model with a delayed impulse, the methods of first-order ordinary differential equations from the previous literature cannot be effectively applied in this paper. However, with the help of the variational method and an appropriate boundedness assumption, a new synchronization criterion is derived, and its effectiveness is illustrated by numerical examples.

Keywords: Neumann boundary value; delayed impulse; synchronization; reaction–diffusion epidemic models; variational methods (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (25)

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