Abstract
This paper studies the stationary solutions of a prey–predator model with population flux by attractive transition. We first obtain a bifurcation branch (connected set) of positive solutions which connects two semitrivial solutions. Next we derive the asymptotic behavior of positive solutions as the coefficient α of the population flux tends to infinity. A main result implies that positive solutions can be classified into two types as α→∞. In one type of them, as α→∞, positive solutions of the prey–predator model approach positive solutions of a competition model with equal diffusion coefficients.
Original language | English |
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Pages (from-to) | 589-615 |
Number of pages | 27 |
Journal | Nonlinear Analysis: Real World Applications |
Volume | 44 |
DOIs | |
Publication status | Published - 2018 Dec |
Externally published | Yes |
Keywords
- A priori estimate
- Asymptotic behavior
- Attractive transitional flux
- Bifurcation analysis
- Coexistence steady states
- Prey–predator model
ASJC Scopus subject areas
- Analysis
- Engineering(all)
- Economics, Econometrics and Finance(all)
- Computational Mathematics
- Applied Mathematics