We found a match
Your institution may have access to this item. Find your institution then sign in to continue.
- Title
A predator-prey reaction diffusion chemostat model with age structure.
- Authors
ZHANG Shuai; WANG Zhiguo
- Abstract
In order to study the effect of species mortality on the dynamic behavior of species in the chemostat model, a class of age-structured predator-prey reaction diffusion chemostat model is proposed. With the principle of maximum value, uniform persistence theory, bifurcation theory and other methods, the global existence of the model solution is discussed, the stability of the model's semi-trivial solution and the consistent consistency of the solution are analyzed, and the global bifurcation structure of the model's positive steady-state solution is given by applying bifurcation theory. The results show that there is a threshold for mortality, species coexist when the mortality is less than the threshold, and predators die above the threshold.
- Subjects
BIFURCATION theory; DIFFUSION; QUANTILE regression; HEAT equation; CHEMOSTAT
- Publication
Basic Sciences Journal of Textile Universities / Fangzhi Gaoxiao Jichu Kexue Xuebao, 2020, Vol 33, Issue 2, p61
- ISSN
1006-8341
- Publication type
Article
- DOI
10.13338/j.issn.1006-8341.2020.02.011