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Global stability of the equilibrium of a diffusive Holling-Tanner prey-predator model
TLDR
Properties of Positive Solutions for Non‐local Reaction–Diffusion Problems
In this paper we investigate the properties of positive solutions for three non-local reaction-diffusion problems. The conditions on the existence and non-existence of global positive solutions are… Expand
General decay of energy for a viscoelastic equation with nonlinear damping
TLDR
Qualitative analysis of a ratio-dependent predator–prey system with diffusion
- Peter Y. H. Pang, M. Wang
- Mathematics
- 1 August 2003
Ratio-dependent predator–prey models are favoured by many animal ecologists recently as they better describe predator–prey interactions where predation involves a searching process. When densities of… Expand
Positive steady states of the Holling–Tanner prey–predator model with diffusion
This paper is concerned with the Holling–Tanner prey–predator model with diffusion subject to the homogeneous Neumann boundary condition. We obtain the existence and non-existence of positive… Expand
On some Free Boundary Problems of the Prey-predator Model
- M. Wang
- Mathematics
- 10 January 2013
In this paper we investigate some free boundary problems for the Lotka-Volterra type prey-predator model in one space dimension. The main objective is to understand the asymptotic behavior of the two… Expand
Global existence and blow-up of solutions for a system of nonlinear viscoelastic wave equations with damping and source ☆
- Xiaosen Han, Xiaosen Han, M. Wang, M. Wang
- Mathematics
- 1 December 2009
Abstract In this paper we investigate the global existence and finite time blow-up of solutions to the system of nonlinear viscoelastic wave equations u t t − Δ u + ∫ 0 t g 1 ( t − τ ) Δ u ( τ ) d τ… Expand
Existence and nonexistence of global solutions for a nonlinear hyperbolic system with damping
Abstract This paper concerns with the Cauchy problem for the damped nonlinear hyperbolic system { u t t − △ u + u t = | v | p , ( t , x ) ∈ R + 1 × R N , v t t − △ v + v t = | u | q , ( t , x ) ∈ R +… Expand
Strategy and stationary pattern in a three-species predator–prey model
- Peter Y. H. Pang, M. Wang
- Mathematics
- 10 June 2004
Abstract In this paper, we study a strongly coupled system of partial differential equations which models the dynamics of a two-predator-one-prey ecosystem in which the prey exercises a defense… Expand
Qualitative analysis of predator-prey models with Beddington-DeAngelis functional response and diffusion
- Wenyan Chen, M. Wang
- Mathematics, Computer Science
- Math. Comput. Model.
- 1 July 2005
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