Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (2): 235-245.
Previous Articles Next Articles
WANG Ning, LV Yueming
Received:
Online:
Published:
Abstract: By studying a class of three-species cooperating models on periodically evolving domain, we discussed the effect of periodic evolution of domain on the persistence and extinction of species. The existence and stability of the positive periodic solution of the model were studied by using the upper and lower solutions method, the comparison principle, the theory of quasi-monotone system and the priori estimates of parabolic equations. We recorded ρ as the domain evolution rate. The results show that the effect of periodically evolving domain on the persistence of species is negative when ρ-2>1, it is positive when ρ-2<1, and there is no effect when ρ-2=1.
Key words: cooperating model, periodically evolving domain, principal eigenvalue, positive periodic solution
CLC Number:
WANG Ning, LV Yueming. Dynamics of Three-Species Cooperating Model on Periodically Evolving Domain[J].Journal of Jilin University Science Edition, 2023, 61(2): 235-245.
0 / / Recommend
Add to citation manager EndNote|Reference Manager|ProCite|BibTeX|RefWorks
URL: http://xuebao.jlu.edu.cn/lxb/EN/
http://xuebao.jlu.edu.cn/lxb/EN/Y2023/V61/I2/235
Cited