Analysis Of Coexistence Of Predator - Prey System In Common Population By Biochemical Stoichiometry

It is well known that intraguild predation, which states that a predator species consumes another predator species and competes for the same prey species, includes predation and competition, and has been playing an important role in the study of ecological systems. Biological stoichiometry as a method to explain ecological dynamics by researching the balance of multiple chemical elements in the ecosys-tem has been widely applied to the study of biodynamic system and provides an important theoretical basis for the stability of biological systems and the protection of biodiversity.The paper focuses on the coexistence problem of intraguild predation with the help of the biological stoichiometry. Based on the elements C and P, we first con-struct a new intraguild predation model with the biological stoichiometry. Then we prove that the three species in intraguild predation with the biological stoichiome-try can coexist in certain conditions under the analysis of the ecological matrix and many numerical simulation. It is worth noting that the relation between s1(the P:C in intraguild predator) and s2(the P:C in intraguild prey) plays a key role in the coexistence.