کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
6418800 | 1339347 | 2014 | 14 صفحه PDF | دانلود رایگان |
We study diffusive heterogeneous predator-prey system with Holling type-II functional response in the presence of harvesting in prey equation i.e.{âÎu=λuâa(x)u2âbuv1+muâch(x)in Ω,âÎv=μvâv2+duv1+muin Ω,âνu=âνv=0on âΩ, where Ω is a smooth bounded region in RN and a(x) is a nonnegative continuous function on Ω¯, with Ω0 a region such that Ω¯0âΩ and a(x)>0 on Ω¯âΩ¯0. We show that in the case of weak prey growth rate, i.e. λ less than the first eigenvalue of âÎ in Ω0, the system has a positive solution for the values of μ in a bounded interval and c>0 sufficiently small. We also investigate the multiplicity of positive solutions in this case. When the prey growth rate is strong, we will show that the system has a positive solution for large positive value of μ, again provided that c is sufficiently small.
Journal: Journal of Mathematical Analysis and Applications - Volume 410, Issue 1, 1 February 2014, Pages 469-482