Open AccessThe impact of fear factor and self-defence on the dynamics of predator-prey model with digestion delay
Author(s) -
Jiang Li,
Xiaohui Liu,
Chunjin Wei
Publication year - 2021
Publication title -
mathematical biosciences and engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.451
H-Index - 45
eISSN - 1551-0018
pISSN - 1547-1063
DOI - 10.3934/mbe.2021277
Subject(s) - hopf bifurcation , predation , white noise , predator , mathematics , stability (learning theory) , dynamics (music) , bifurcation , control theory (sociology) , noise (video) , statistical physics , ecology , computer science , physics , statistics , nonlinear system , biology , artificial intelligence , image (mathematics) , control (management) , quantum mechanics , machine learning , acoustics
In this paper, we propose both deterministic and stochastic predator-prey models with digestion delay, incorporating fear factor and self-defence. For the deterministic model, the existence and stability of the equilibrium are investigated and the occurrence of Hopf bifurcation is studied. For the stochastic model, we investigate the existence of a unique global positive solution of the model and analyze the asymptotic behavior of the global solution around the equilibriums of the deterministic model. Finally, numerical simulations are carried out to verify our analytical results, which indicate that the intensity of white noise, fear factor and self-defence have a significant relationship with the dynamics of the predator-prey model and expand the theoretical analyses.