期刊
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
卷 469, 期 2, 页码 982-1014出版社
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jmaa.2018.09.047
关键词
Strong Allee effect; Threshold harvesting; Predator-prey model; Bifurcation
资金
- National Natural Science Foundation of China [11571170, 31570417]
- Natural Science Foundation of Anhui Province of China [1608085MA14]
- Key Project of Natural Science Research of Anhui Higher Education Institutions of China [KJ2015A152, gxyqZD2016205]
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.
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