Delay Differential Equations and Application in Cotton Ecosystem
This study built delay differential equations on crop-pest-natural enemy-soil mi-croorganism using energy unit of cotton ecosystem and analysis it with the theory of functional differential equations.The result shows that this system is permanent and all solutions are positive.And it has unique positive equilibrium point which is global asymptotically stable under some conditions.Other more,two delays in this system are harmless,which means this system in cotton ecosystem could be not considered delays or developmental period of crop,pest and natural enemy.Lastly,Matlab software was used to simulate this system and verified the right of above results.