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We show a detailed study on the dynamics of a neutral delay differential population model with age structure in the prey species. By selecting the mature delay as a bifurcation… Click to show full abstract
We show a detailed study on the dynamics of a neutral delay differential population model with age structure in the prey species. By selecting the mature delay as a bifurcation parameter, we obtain the stability and Hopf bifurcations of the coexistence equilibrium. Moreover, by computing the normal form on the center manifold, we give the formulas determining the stability of periodic solutions and the direction of Hopf bifurcation. Finally, we give some numerical simulations to support and strengthen the theoretical results.
Keywords:
hopf bifurcation;
age structure;
model age;
structure prey;
bifurcation;
prey
Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2019
Link to full text (if available)
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Journal Title: Electronic Journal of Qualitative Theory of Differential Equations
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!