Hopf bifurcation analysis in a stage-structure predator–prey model with two time delay
نویسندگان
چکیده
In this paper, we consider a predator-prey system with two time delays, which describes prey–predator model parental care for predators. The local stability of the positive equilibrium is analysed. By choosing delays as bifurcation parameter, existence Hopf studied. Numerical simulations show loses its via when delay increases beyond threshold.
منابع مشابه
Stability and HOPF Bifurcation Analysis in a Stage-structured Predator-prey system with Two Time Delays
A stage-structured predator-prey system with two time delays is considered. By analyzing the corresponding characteristic equation, the local stability of a positive equilibrium is investigated and the existence of Hopf bifurcations is established. Formulae are derived to determine the direction of bifurcations and the stability of bifurcating periodic solutions by using the normal form theory ...
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ژورنال
عنوان ژورنال: MATEC web of conferences
سال: 2022
ISSN: ['2261-236X', '2274-7214']
DOI: https://doi.org/10.1051/matecconf/202235503048