## Communicated by M. Grinfeld A single population growth model with stage-structured and state-dependent impulsive control is proposed. By using the Poincaré map and the analogue of Poincaré's criterion, we prove the existence and the stability of positive order-1 or order-2 periodic solution. Mo
✦ LIBER ✦
Global behaviors of a periodic budworm population model with impulsive perturbations
✍ Scribed by Zhijun Liu; Guangyao Tang
- Publisher
- John Wiley and Sons
- Year
- 2010
- Tongue
- English
- Weight
- 155 KB
- Volume
- 34
- Category
- Article
- ISSN
- 0170-4214
- DOI
- 10.1002/mma.1393
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## Abstract A delayed periodic Lotka–Volterra type population model with __m__ predators and __n__ preys is investigated. By using Gaines and Mawhin's continuation theorem of coincidence degree theory and by constructing suitable Lyapunov functionals, sufficient conditions are derived for the exist