• Corpus ID: 236772045

Global existence and stabilization in a forager-exploiter model with general logistic sources

@inproceedings{Wang2021GlobalEA,
  title={Global existence and stabilization in a forager-exploiter model with general logistic sources},
  author={Jianping Wang},
  year={2021}
}
Abstract. We study a forager-exploiter model with generalized logistic sources in a smooth bounded domain with homogeneous Neumann boundary conditions. A new boundedness criterion is developed to prove the global existence and boundedness of the solution. Under some conditions on the logistic degradation rates, the classical solution exists globally and remain bounded in the high dimensions. Moreover, the large time behavior of the obtained solution is investigated in the case of the nutrient… 
Global solutions of a doubly tactic resource consumption model with logistic source
which is proposed in [13] accounting for social interaction between different species. Here, u = u(x, t) and v = v(x, t) denote the population densities of foragers and scroungers, respectively, and

References

SHOWING 1-10 OF 30 REFERENCES
Global bounded solution of the higher-dimensional forager–exploiter model with/without growth sources
We investigate the higher-dimensional forager-exploiter model with homogeneous Neumann boundary condition. The existence and uniqueness of global bounded classical solution is established for the
Global existence and boundedness of classical solutions to a forager–exploiter model with volume-filling effects
Abstract This work is concerned with a chemotactic model for the dynamics of social interactions between two species — foragers u and exploiters v , as well as the dynamics of food resources w
Eventual smoothness and stabilization of large-data solutions in a three-dimensional chemotaxis system with consumption of chemoattractant
Abstract This paper deals with positive solutions of { u t = Δ u − ∇ ⋅ ( u ∇ v ) , x ∈ Ω , t > 0 , v t = Δ v − u v , x ∈ Ω , t > 0 , under homogeneous Neumann boundary conditions in bounded convex
Boundedness and global stability of the two-predator and one-prey models with nonlinear prey-taxis
This paper concerns the reaction–diffusion systems modeling the population dynamics of two predators and one prey with nonlinear prey-taxis. We first investigate the global existence and boundedness
Global Existence and Uniform Boundedness of Smooth Solutions to a Cross-Diffusion System with Equal Diffusion Rates
We consider the Shigesada-Kawasaki-Teramoto cross-diffusion model for two competing species. If both species have the same random diffusion coefficients and the space dimension is less than or equal
Boundedness and global existence in the higher-dimensional parabolic–parabolic chemotaxis system with/without growth source
Abstract In this paper, we are concerned with a general class of quasilinear parabolic–parabolic chemotaxis systems with/without growth source, under homogeneous Neumann boundary conditions in a
Large time behavior in a forager–exploiter model with different taxis strategies for two groups in search of food
This work deals with a taxis cascade model for food consumption in two populations, namely foragers directly orienting their movement upward the gradients of food concentration and exploiters taking
Global stability of prey-taxis systems
Abstract In this paper, we prove the global boundedness and stability of the predator–prey system with prey-taxis in a two-dimensional bounded domain with Neumann boundary conditions. By deriving an
Aggregation vs. global diffusive behavior in the higher-dimensional Keller–Segel model
We consider the classical parabolic–parabolic Keller–Segel system {ut=Δu−∇⋅(u∇v),x∈Ω,t>0,vt=Δv−v+u,x∈Ω,t>0, under homogeneous Neumann boundary conditions in a smooth bounded domain Ω⊂Rn. It is
The Dynamics of a Predator–Prey Model with Diffusion and Indirect Prey-Taxis
This paper concerns with a reaction–diffusion system modeling the population dynamics of the predator and prey, in which the predator moves toward the gradient of concentration of some chemical
...
1
2
3
...