捕食者攻击速率对具有额外捕食的常微分方程–反应扩散方程耦合模型影响研究
The Effect of Predator Attack Rate on the Coupled Model of Ordinary Differential Equation and Reaction-Diffusion Equation with Additional Predation
DOI: 10.12677/AAM.2023.1210436, PDF,   
作者: 郑加乐：广州大学数学与信息科学学院，广东 广州
关键词: 攻击速率；捕食者；共存；图灵斑图；Attack Rate； Predators； Coexistence； Turing Pattern
摘要: 本文研究了捕食者攻击速率对一类具有额外捕食的常微分方程–反应扩散方程耦合模型的影响。我们发现捕食者攻击速率不仅会影响到Allee效应的类型，也会影响到物种存活以及共存模式，还会影响到斑图的产生及其类型。
Abstract: In this paper, the effect of predator attack rate on a class of coupled ordinary differential equation and reaction-diffusion equation models with additional predation is studied. We found that the predator attack rate not only affects the type of Allee effect, but also affects the species survival and coexistence mode, and also affects the generation and type of pattern.
文章引用：郑加乐. 捕食者攻击速率对具有额外捕食的常微分方程–反应扩散方程耦合模型影响研究[J]. 应用数学进展, 2023, 12(10): 4447-4455. https://doi.org/10.12677/AAM.2023.1210436

参考文献

[1] 张晓漩. 食饵受额外捕食影响的捕食-食饵模型的动力学[D]: [硕士学位论文]. 广州: 广州大学, 2022.[CrossRef] 
[2] Dey, S., Banerjee, M. and Ghorai, S. (2022) Analytical Detection of Stationary Turing Pattern in a Predator-Prey System with Generalist Predator. Mathematical Modelling of Natural Phenomena, 17, Article No. 33. [Google Scholar] [CrossRef] 
[3] Arancibia-Ibarra, C., Bode, M., Flores, J., Pettet, G. and van Heijster, P. (2021) Turing Patterns in a Diffusive Holling-Tanner Predator-Prey Model with an Alternative Food Source for the Predator. Communications in Nonlinear Science and Numerical Simulation, 99, Article ID: 105802. [Google Scholar] [CrossRef] 
[4] Hu, G. and Feng, Z. (2020) Turing Instability and Pattern For-mation in a Strongly Coupled Diffusive Predator-Prey System. International Journal of Bifurcation and Chaos, 30, No. 8. [Google Scholar] [CrossRef] 
[5] Tang, X. and Song, Y. (2015) Cross-Diffusion Induced Spa-tiotemporal Patterns in a Predator-Prey Model with Herd Behavior. Nonlinear Analysis: Real World Applications, 24, 36-49. [Google Scholar] [CrossRef] 
[6] 郑加乐, 郑锦楠, 陈凯璇. 具交叉扩散和弱Allee效应的反应扩散方程图灵斑图研究[J]. 应用数学进展, 2023, 12(9): 3834-3841. https://www.hanspub.org/journal/PaperInformation.aspx?paperID=71885 [Google Scholar] [CrossRef] 

为你推荐