An analysis of hybrid impulsive prey-predator-mutualist system on nonuniform time domains

Abstract

In this work, we propose a hybrid impulsive prey-predator-mutualist model on nonuniform time domains. We have investigated the permanence/persistence results for the proposed model using the comparison theorems of impulsive differential equations and some dynamic inequality on the nonuniform time domains. In addition, we have established certain necessary requirements for the uniform asymptotic stability of the almost periodic solution and global attractivity of the proposed model. Furthermore, we provide several numerical examples on nonuniform time domains with computer simulation to demonstrate the viability of the results of the acquired analytical work.

Keywords

• timescales
• hybrid predator-prey-mutualist model
• global attractivity
• impulsive effect
• lyapunov functional
• 34n05
• 92d25
• 34a37
• 34a38