Synchronization of Epidemic Systems with Neumann Boundary Value under Delayed Impulse

• DOI: 10.3390/math10122064
• Publication Date: 2022-06-16T07:01:22Z
• Authors: Ruofeng Rao; Zhi Lin; Xiaoquan Ai; Jiarui Wu
• Keywords: Reaction–diffusion system

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