时间测度上具有Beddington-DeAngelis类功能反应和扩散的捕食系统的周期解

详细信息

PERIODIC SOLUTIONS FOR A CLASS OF PREDATOR- PREY SYSTEM ON TIME SCALES WITH BEDDINGTON-DEANGELIS FUNCTIONAL RESPONSE AND DIFFUSION

摘要: 在时间测度上研究了一类具有Beddington-DeAngelis类功能反应和扩散的捕食系统，利用Mawhin重合度理论建立了这类系统周期解存在的一些新的充分性判据，从而使这一类系统的连续与离散情形即相应的微分方程和差分方程的周期解存在性问题得到了统一.
- 时间测度 /
- Beddington-DeAngelis类功能反应 /
- 捕食系统 /
- 周期解 /
- 重合度
Abstract: The existence of periodic solutions for a class of predator- prey system on time scales with Beddington-DeAngelis functional response and diffusion is investigated. By using a continuation theorem based on coincide degree theory, sufficient criteria for the existence of periodic solutions of the system are obtained. The results provide unified existence theorems of solutions for the continuous differential equations and discrete difference equations.
- time scale /
- Beddington-DeAngelis functional response /
- predator- prey system /
- positive periodic solution /
- coincidence degree