کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
766798 | 897123 | 2014 | 16 صفحه PDF | دانلود رایگان |
• Holling type III functional response reflect exactly interactions between vertebrates.
• Adopt a modified analysis skill of papers [2] and [17].
• Figures illustrate the permanence of the system from three different point of views.
An impulsive reaction–diffusion periodic food-chain system with ratio-dependent functional response is investigated in the present paper. Sufficient conditions for the ultimate boundedness and permanence of the food-chain system are established based on the comparison theory of differential equation and upper and lower solution method. By constructing appropriate auxiliary function, the conditions for the existence of a unique globally stable positive periodic solution are also obtained. Some numerical examples are presented to verify our results. A discussion is given in the end of the paper.
Journal: Communications in Nonlinear Science and Numerical Simulation - Volume 19, Issue 1, January 2014, Pages 173–188