Periodicity in a generalized semi-ratio-dependent predator–prey system with time delays and impulses |
| |
| Authors: | Xiaoquan Ding Jifa Jiang |
| |
| Institution: | aDepartment of Mathematics, Tongji University, Shanghai 200092, PR China;bDepartment of Mathematics and Information Science, Shandong Agricultural University, Tai'an, Shandong 271018, PR China;cDepartment of Mathematics, Shanghai Normal University, Shanghai 200234, PR China |
| |
| Abstract: | With the help of a continuation theorem based on coincidence degree theory, we establish necessary and sufficient conditions for the existence of positive periodic solutions in a generalized semi-ratio-dependent predator–prey system with time delays and impulses, which covers many models appeared in the literature. When the results reduce to the semi-ratio-dependent predator–prey system without impulses, they generalize and improve some known ones. |
| |
| Keywords: | Predator– prey system Periodic solution Semi-ratio-dependent Delay Impulse Coincidence degree |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
