Dynamics Of An Intraguild Predation System

In this study,we formulate an intraguild predation model,in which the herbaceous plant is shared food,by applying ecological stoichiometry.The purpose of our study is to discuss the influence of prey quality on the dynamic behavior of three species in the system.Considering the re-growth characteristic of herbaceous plant,that is,when the biomass of aboveground part of herbaceous plant tends to zero due to the predator's predation,the belowground part of herbaceous plant will transfer the stored energy to the aboveground part to achieve the re-growth of the aboveground part,we divide the herbaceous plant into two parts.By theoretical analysis,this study indicates that the growth of herbaceous plants has homeostasis,and explores the influence of plant quality(nitrogen to carbon ratio)on the growth and reproduction of two predators.By numerical analysis,this study discuss the effects of nutrition and light intensity on population dynamics.The results reveal that when the light intensity is relatively large,the inherent ratio of nitrogen to carbon of predators is a key factor affecting predators' biomass.