Oscillatory solutions in a 3D predation system with time delay and age structure  

作　　者：Peng Yang 

机构地区：[1]College of Mathematics and Statistics Northwest Normal University Lanzhou,Gansu 730070,P.R.China

出　　处：《International Journal of Biomathematics》2024年第5期133-175,共43页生物数学学报（英文版）

摘　　要：This paper is concerned with the sustained periodic oscillation phenomenon in a threespecies 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 T2.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 T passes through some critical values.Numerical simulations are also provided to illustrate theoretically analytical results.

关 键 词：Periodic oscillations 3D predation system time delay age structure integrated semigroup 

分 类 号：O17[理学—数学]