Complex dynamics of a diffusive predator-prey model with strong Allee effect and threshold harvesting

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:469

Article

Wu, Daiyong^1,2  Zhao, Hongyong¹  Yuan, Yuan³ 

[1] Nanjing Univ Aeronaut & Astronaut, Dept Math, Nanjing 210016, Jiangsu, Peoples R China

[2] Anqing Normal Univ, Dept Math, Anqing 246133, Anhui, Peoples R China

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

关键词: Strong Allee effect;    Threshold harvesting;    Predator-prey model;    Bifurcation;   

DOI  :  10.1016/j.jmaa.2018.09.047

来源: Elsevier

【 摘 要 】

In this paper, complex dynamics of a diffusive predator-prey model is investigated, where the prey is subject to strong Allee effect and threshold harvesting. The existence and stability of nonnegative constant steady state solutions are discussed. The existence and nonexistence of nonconstant positive steady state solutions are analyzed to identify the ranges of parameters of pattern formation. Spatially homogeneous and nonhomogeneous Hopf bifurcation and discontinuous Hopf bifurcation are proved. These results show that the introduction of strong Allee effect and threshold harvesting increases the system spatiotemporal complexity. Finally, numerical simulations are presented to validate the theoretical results. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

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