Journal
CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
Volume 61, Issue 6, Pages -Publisher
SPRINGER HEIDELBERG
DOI: 10.1007/s00526-022-02319-z
Keywords
Predator-prey model; Spatial heterogeneity; Dispersal; Stability; Positive solutions
Categories
Funding
- National Science Foundation of China [11801436, 12171296]
- Natural Science Basic Research Plan in Shaanxi Province of China [2019JQ-346]
Ask authors/readers for more resources
In this study, we investigate a diffusive predator-prey model in spatially heterogeneous environments. By varying the dispersal rates of the prey and predator, we fully study the stability of semi-trivial steady states and obtain multiple positive steady states and their stability.
We investigate a diffusive predator-prey model in spatially heterogeneous environments. When the intrinsic growth rate of the prey is constant and the intrinsic growth rate of the predator is non-constant, we completely study how the semi-trivial steady states step-wisely change their stability as the dispersal rates of the prey and predator vary. Moreover, we can obtain multiple positive steady states of this model and determine their stability. In particular, if the dispersal rate of the prey is considered as bifurcation parameter, then the local bifurcation results can be generalized to a global one. We also investigate the stability of the semi-trivial steady states when both the intrinsic growth rate of the prey and the intrinsic growth rate of the predator are non-constant. Finally, when the dispersal rates of the prey and predator are simultaneously regarded as bifurcation parameters, we can deduce positive steady state of this model and derive its stability.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available