Dynamics for a diffusive prey-predator model with different free boundaries
By Mingxin Wang, Yang Zhang. 2015
79 citations recorded by the source corpus.
To understand the spreading and interaction of prey and predator, in this paper we study the dynamics of the diffusive Lotka-Volterra type prey-predator model with different free boundaries. These two free boundaries, which may intersect each other as time evolves, are used to describe the spreading of prey and predator. We investigate the existence and uniqueness, regularity and uniform estimates, and long time behaviors of global solution. Some sufficient conditions for spreading and vanishing are established. When spreading occurs, we provide the more accurate limits of (u,v) as t\to\infty, and give some estimates of asymptotic spreading speeds of u,v and asymptotic speeds of g,h. Some realistic and significant spreading phenomena are found.
Subfields: Applied Mathematics, Geometry and Topology, Public Health, Environmental and Occupational Health
View Paper: https://www.semanticscholar.org/paper/2717ae7c86eda9be33cbc27c50d50243dabec235
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
In Geometry and Topology
In Public Health, Environmental and Occupational Health
Citations in the corpus
- Two species nonlocal diffusion systems with free boundaries (2019, background): “In the case of local diffusion, competition and prey-predator models with free boundaries appearing in only one species were considered in [10, 12, 38], and with independent free boundaries for the two species were studied in [13, 15, 33, 34].”