Model Analysis Of Autotrophic And Polytrophic Algae With Colocalized Predation Structures

Intraguild predation describes that two predators consume the common resources,and one predator can also consume another predator,It is widespread in nature.Autotrophic algae and mixotrophic algae are important components of phytoplankton.They play an important role in energy flow and material cycling in aquatic ecosystems.This paper mainly studies dynamic properties of a mathematical model of the interaction between autotrophic algae and mixotrophic algae with an intraguild predation structure.Firstly,the well posedness and dissipation of the solutions are given.For linear functional response and Holling ? type functional response,the existence and stability of steady state solutions,Turing instability and nonexistence of nonconstant steady state solutions are explored.The above theoretical analysis is explained and supplemented by numerical simulations.