Global boundedness of a three-species spatial intraguild predation model with alarm-taxis

The directional motivation of predator is influenced by the density of prey and its alarm call, this paper focuses on a three-species spatial intraguild predation model involving prey-taxis and alarm-taxis. By energy estimates and heat semigroup theory, we prove that this model possesses a bounded and global classical solution in N -dimensional space ( N ≥ 3 ) with Neumann boundary conditions.

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Publication Details

Journal
Results in Applied Mathematics
Published
2025-06-18
DOI
https://doi.org/10.1016/j.rinam.2025.100602
Primary Topic
Mathematical Biology Tumor Growth
Type
article
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article

Global boundedness of a three-species spatial intraguild predation model with alarm-taxis

Yun Zhang, Lü Xu, Pengfei Luo
Results in Applied Mathematics
Mathematical Biology Tumor Growth
article

Global boundedness of a three-species spatial intraguild predation model with alarm-taxis

Yun Zhang, Lü Xu, Pengfei Luo
article en

Abstract

The directional motivation of predator is influenced by the density of prey and its alarm call, this paper focuses on a three-species spatial intraguild predation model involving prey-taxis and alarm-taxis. By energy estimates and heat semigroup theory, we prove that this model possesses a bounded and global classical solution in N -dimensional space ( N ≥ 3 ) with Neumann boundary conditions.

Results in Applied MathematicsVol. 27
Yili Normal University (CN)
Openalex Percentile: Top 84%
Mathematical Biology Tumor Growth
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Global boundedness of a three-species spatial intraguild predation model with alarm-taxis — Yun Zhang, Lü Xu, et al. · Results in Applied Mathematics (2025) | TGRS Research Map | TGRS