کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
838448 | 908359 | 2009 | 16 صفحه PDF | دانلود رایگان |
![عکس صفحه اول مقاله: A qualitative study on general Gause-type predator–prey models with non-monotonic functional response A qualitative study on general Gause-type predator–prey models with non-monotonic functional response](/preview/png/838448.png)
In this paper, we study a diffusive predator–prey model with general growth rates and non-monotonic functional response under homogeneous Neumann boundary condition. A local existence of periodic solutions and the asymptotic behavior of spatially inhomogeneous solutions are investigated. Moreover, we show the existence and non-existence of non-constant positive steady-state solutions. Especially, to show the existence of non-constant positive steady-states, the fixed point index theory is used without estimating the lower bounds of positive solutions. More precisely, calculating the indexes at the trivial, semi-trivial and positive constant solutions, some sufficient conditions for the existence of non-constant positive steady-state solutions are studied. This is in contrast to the works in previous papers. Furthermore, on obtaining these results, we can observe that the monotonicity of a prey isocline at the positive constant solution plays an important role.
Journal: Nonlinear Analysis: Real World Applications - Volume 10, Issue 4, August 2009, Pages 2558–2573