Dynamic Behaviors of an Obligate Commensal Symbiosis Model with Crowley–Martin Functional Responses

Abstract

A two species obligate commensal symbiosis model with Crowley–Martin functional response was proposed and studied in this paper. For an autonomous case, local and global dynamic behaviors of the system were investigated, respectively. The conditions that ensure the existence of the positive equilibrium is coincidentla to the conditions of global stability of a positive equilibrium. For nonautonomous cases, persistent and extinction properties of the system are investigated.

Keywords

• commensal symbiosis model
• Crowley–Martin functional response
• stability