论文标题
Leslie-Gower或Holling-Tanner类型的周期性捕食者捕食系统的正周期性解决方案
Positive periodic solutions for periodic predator-prey systems of Leslie-Gower or Holling-Tanner type
论文作者
论文摘要
在本文中，假设系数是连续的$ω$ - 周期函数，我们考虑了Leslie-Gower或Holling-Tanner类型的定期捕食者捕集系统。我们证明，通过锥形的Banach空间中的操作员方法，我们证明了正$ω$ - 周期的解决方案。除了积极性和周期性外，系数不需要建设性条件。最后，我们指出，即使在某些延迟的情况下，也可以使用较小的更改应用使用的方法，以证明存在正$ω$ - 周期解决方案。
In this paper, we consider periodic predator-prey systems of Leslie-Gower or Holling-Tanner type, assuming that the coefficients are continuous positive $ω$-periodic functions. We prove an existence of positive $ω$-periodic solutions by means of operator method in Banach spaces with cones. No constructive conditions are required for the coefficients, besides the positivity and periodicity. At the end we point out that the used approach can be applied with minor changes for proving the existence of positive $ω$-periodic solutions even in the case of certain delays.
