Existence and global attractivity of positive periodic solutions for single species model with stage structure. (Chinese. English summary) Zbl 1474.34295
Summary: A class of non-autonomous single species model with stage structure is discussed. Some sufficient conditions on the existence and global attractivity of the positive periodic solution are obtained by using the continuation theorem and the Lyapunov function method.
MSC:
| 34C60 | Qualitative investigation and simulation of ordinary differential equation models |
| 34C25 | Periodic solutions to ordinary differential equations |
| 92D25 | Population dynamics (general) |
| 37C60 | Nonautonomous smooth dynamical systems |
| 47N20 | Applications of operator theory to differential and integral equations |
| 34D20 | Stability of solutions to ordinary differential equations |
