Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 89, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2020.105310
Keywords
Nonlocal effect; Delay; Normal form; Steady state-Hopf bifurcation
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Funding
- National Natural Science Foundation of China [11971143]
- Natural Science Foundation of Zhejiang Province of China [LY19A010010]
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In this paper, we discuss a diffusive predator-prey model with nonlocality and delay. Stability and bifurcation analysis suggest that the joint impacts of the nonlocal term and delay result in instability of the positive constant steady state. Moreover, steady state, Hopf and steady state-Hopf bifurcations and interactions of these bifurcations may occur under certain conditions. Normal forms of steady state, Hopf and steady state-Hopf bifurcations for a general reaction-diffusion model with nonlocal effects and delay are derived. In numerical simulations, spatially inhomogeneous steady states and periodic solutions and heteroclinic connections between these solutions are obtained. (C) 2020 Elsevier B.V. All rights reserved.
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