Dynamic analysis of pine wilt disease model with memory diffusion and nonlocal effect

Yanchuang Hou and Yuting Ding

Chaos, Solitons & Fractals, 2024, vol. 179, issue C

Abstract: Pine wilt disease is one of the most serious forest pest and disease in China, which seriously influences the realization of the dual carbon goal. In this paper, considering susceptible longhorns and infected longhorns, we study a delayed reaction–diffusion pine wilt disease model both with memory diffusion and nonlocal effect. We analyze the dynamic properties for with and without memory diffusion and nonlocal effect, respectively. Especially, for this model, we find that memory diffusion plays a leading role in spatial dynamics. Memory diffusion can induce spatially inhomogeneous periodic solutions and steady-state solutions. Nonlocal effect mainly affects the amplitude and period of spatially inhomogeneous periodic solutions of the system. In addition, we give some biological explanations for the different phenomena in this paper.

Keywords: Pine wilt disease; Memory diffusion; Nonlocal effect; Inhomogeneous periodic solutions; Inhomogeneous steady-state (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:179:y:2024:i:c:s0960077924000316

DOI: 10.1016/j.chaos.2024.114480

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