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Spatiotemporal Dynamics in a Time-Delayed Rhizophagus grandis-Dendroctonus valens Predator-Prey System with Nonlocal Diffusion and Taxis

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摘要 The objective of this study is to investigate the spatiotemporal dynamics of a Rhizophagusgrandis-Dendroctonusvalenspredator-prey system.Under Neu-mann boundary conditions,we establish a reaction-diffusion system incorpo-rating Holling-II functional response,nonlocal effect,predator-prey taxis and time delay to elucidate the regulatory mechanisms of chemotactic behaviors and delayed predation pressure on ecosystem stability.In addition,we inves-tigate the existence conditions for Hopf bifurcation and employ the multiple time scales method to derive its normal form.Under appropriate parameter constraints,numerical simulations demonstrate that the system exclusively exhibits Hopf bifurcation in the current parameter configuration,where non-local interactions,taxis and time delays synergistically induce the formation of spatially heterogeneous periodic solutions.These results elucidate the in-trinsic mechanism underlying periodic pest outbreaks and provide a theoret-ical foundation for optimizing biological control strategies.Notably,our anal-ysis reveals the critical role of predator taxis capability and delayed predation feedback in stabilizing pest population cycles,offering practical guidance for sustainable forest pest management.
机构地区 College of Science
出处 《Journal of Applied Mathematics and Physics》 2025年第5期1818-1833,共16页 应用数学与应用物理(英文)
基金 funded by the Heilongjiang Provincial Natural Science Foundation of China(Grant No.LH2024A001) the College Students Innovations Special Project funded by Northeast Forestry University(No.DCLXY-2025010).
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