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- Title
Oscillatory solutions in a 3D predation system with time delay and age structure.
- Authors
Yang, Peng
- Abstract
This paper is concerned with the sustained periodic oscillation phenomenon in a three-species delayed predation system with Holling type II functional response and age structure in top predator. The top predator fertility function is regarded as a piecewise continuous smooth function with regard to their maturation period τ 2 . The complicated dynamic behavior is proved by integrated semigroup theory and Hopf bifurcation theorem for semilinear equations with non-dense domain. Through qualitative analysis and bifurcation study of the system, we yield that this system has a nontrivial periodic solution that bifurcates from the positive equilibrium age distribution when bifurcation parameter τ passes through some critical values. Numerical simulations are also provided to illustrate theoretically analytical results.
- Subjects
TIME delay systems; TOP predators; PREDATION; HOPF bifurcations; AGE distribution; SMOOTHNESS of functions; BIFURCATION diagrams; NONLINEAR oscillators
- Publication
International Journal of Biomathematics, 2024, Vol 17, Issue 5, p1
- ISSN
1793-5245
- Publication type
Article
- DOI
10.1142/S1793524523500468