A reaction-diffusion predator-prey model with stage structure and nonlocal delay
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Publication:2493682
DOI10.1016/j.amc.2005.08.014zbMath1099.92081OpenAlexW2023222249WikidataQ115598633 ScholiaQ115598633MaRDI QIDQ2493682
Publication date: 16 June 2006
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2005.08.014
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Ecology (92D40)
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Cites Work
- Unnamed Item
- Global asymptotic stability of Lotka--Volterra 3-species reaction--diffusion systems with time delays
- Spatio-temporal delays in a nutrient-plankton model on a finite domain: Linear stability and bifurcations
- The optimal harvesting problems of a stage-structured population.
- The stage-structured predator-prey model and optimal harvesting policy
- Dynamics of a food-limited population model incorporating nonlocal delays on a finite domain
- Effects of diffusion on a stage-structured population in a polluted environment
- Global stability of a predator-prey system with stage structure for the predator
- A predator-prey reaction-diffusion system with nonlocal effects
- Dynamics of nonlinear parabolic systems with time delays
- Global asymptotic stability of Lotka-Volterra competition systems with diffusion and time delays
- Permanence of predator-prey system with stage structure
- Existence theorems for semilinear parabolic systems with functionals
- Instability of travelling wave solutions of a population model with nonlocal effects
- Convergence and Travelling Fronts in Functional Differential Equations with Nonlocal Terms: A Competition Model
- Instability in a predator-prey system with delay and spatial averaging
- Spatial Structures and Periodic Travelling Waves in an Integro-Differential Reaction-Diffusion Population Model
- Equivalent Norms for Sobolev Spaces
- The effect of dispersal on population growth with stage-structure
- Instability in diffusive ecolocical models with nonlocal delay effects
- Convergence of solutions of reaction-diffusion systems with time delays
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