Journal
APPLIED MATHEMATICS LETTERS
Volume 103, Issue -, Pages -Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.106175
Keywords
Group defense; Delay; Diffusion; Nonlocal competition; Hopf bifurcation
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Funding
- National Natural Science Foundation of China [11701120, 11771109]
- Natural Science Foundation of Shandong Province [ZR2019QA020]
- Foundation for Innovation at Harbin Institute of Technology (Weihai)
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A nonlocal prey competition term, which represents a spatially weighted average of prey density, is incorporated into a diffusive predator-prey model with group defense effect to investigate the corresponding dynamic behaviors. By analyzing the distribution of eigenvalues and using the gestation time delay of predators as a bifurcation parameter, we discuss the stability of positive equilibrium and the existence of Hopf bifurcation. Based on the extended center manifold method and normal form theory, the direction and stability of the bifurcating periodic solution are discussed. Finally, spatially inhomogeneous oscillations are observed near the Hopf bifurcation. (C) 2019 Elsevier Ltd. All rights reserved.
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