Extinction and permanence of chemostat model with pulsed input in a polluted environment |
| |
| Authors: | Zhong Zhao Lansun Chen Xinyu Song |
| |
| Affiliation: | 1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun 130024, Jilin, PR China;2. School of Mathematics and Statistics, Guangxi Colleges and Universities Key Laboratory of Complex System Optimization and Big Data Processing, Yulin Normal University, Yulin 537000, Guangxi, PR China;3. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;4. College of Science, China University of Petroleum, Qingdao 266580, Shandong, PR China;5. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan;1. School of Mathematics and Statistics, Key Laboratory of Applied Statistics of MOE, Northeast Normal University, Changchun, Jilin Province 130024, PR China;2. Key Laboratory of Unconventional Oil and Gas Development, China University of Petroleum (East China), Ministry of Education, Qingdao 266580, PR China;3. College of Science, China University of Petroleum, Qingdao, Shandong Province 266580, PR China;4. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, King Abdulaziz University, Jeddah, Saudi Arabia;5. Department of Mathematics, Quaid-i-Azam University 45320, Islamabad 44000, Pakistan |
| |
| Abstract: | In this paper, chemostat model with pulsed input in a polluted environment is considered. By using the Floquet theorem, we find the microorganism eradication periodic solution is globally asymptotically stable if some conditions are needed. At the same time we can find the condition of the nutrient and microorganism are permanent. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
