Effects of diffusion on a stage-structured population in a polluted environment

DOI10.1016/S0096-3003(03)00713-6zbMath1048.92032OpenAlexW2039680589MaRDI QIDQ1883193

Lixia Duan, Zaizhong Yang, Qi-Shao Lu, Lan-Sun Chen

Publication date: 1 October 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00713-6

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (9)

Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances ⋮ Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment ⋮ A periodic averaging method for impulsive stochastic age‐structured population model in a polluted environment ⋮ Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays ⋮ Approximation of invariant measure for a stochastic population model with Markov chain and diffusion in a polluted environment ⋮ Dynamics of a stochastic predator-prey model with two competitive preys and one predator in a polluted environment ⋮ A reaction-diffusion predator-prey model with stage structure and nonlocal delay ⋮ Analysis of a nonautonomous Gompertz population growth model with dispersal in a polluted environment ⋮ Survival analysis of a stochastic cooperation system with functional response in a polluted environment

Cites Work

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• Persistence and extinction of a population in a polluted environment
• Effects of toxicants on populations: a qualitative approach II. First order kinetics
• Inertia characteristics of self-adjoint matrix polynomials
• Cooperative systems theory and global stability of diffusion models
• Qualitative behavior of stage-structured populations: Application to structural validation
• Effects of toxicants on a stage-structured population growth model
• The dynamical systems approach to differential equations
• Persistence and global asymptotic stability of single species dispersal models with stage structure
• Cooperative systems of differential equations with concave nonlinearities
• The Operator of Translation Along the Trajectories of Differential Equations

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