Effects of toxicants on a stage-structured population growth model

DOI10.1016/S0096-3003(00)00057-6zbMath1017.92044MaRDI QIDQ1855041

Yanni Xiao, Lan-Sun Chen

Publication date: 28 January 2003

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

zbMATH Keywords

periodic solutionextinctionglobal asymptotic stabilitypermanencestage structure

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Ecology (92D40) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05)

Related Items (12)

Effects of diffusion on a stage-structured population in a polluted environment ⋮ Survival analysis of single-species population diffusion models with chemotaxis in polluted environment ⋮ Existence and stability of periodic solution of a stage-structured model with state-dependent impulsive effects ⋮ Extinction in periodic competitive stage-structured Lotka-Volterra model with the effects of toxic substances ⋮ Dynamics of a two-species Lotka-Volterra competition system in a polluted environment with pulse toxicant input ⋮ Global stability of stage-structured predator-prey models with Beddington-DeAngelis functional response ⋮ Global convergence of a reaction-diffusion predator-prey model with stage structure and nonlocal delays ⋮ Analysis of a nonautonomous delayed predator-prey system with a stage structure for the predator in a polluted environment ⋮ Harvesting of a single-species system incorporating stage structure and toxicity ⋮ Dynamics of a stochastic predator-prey system in a polluted environment with pulse toxicant input and impulsive perturbations ⋮ Analysis of a nonautonomous Gompertz population growth model with dispersal in a polluted environment ⋮ Stability and Hopf bifurcation in a predator-prey model with stage structure for the predator

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
• Persistence in population models with demographic fluctuations
• Effects of parameter fluctuations on community survival
• The threshold of survival for system of two species in polluted environment
• Qualitative behavior of stage-structured populations: Application to structural validation
• The thresholds of survival for an \(n\)-dimensional food chain model in a polluted environment
• Analysis of a model of stage-structured population dynamics growth with time state-dependent time delay
• A time-delay model of single-species growth with stage structure
• Cooperative systems of differential equations with concave nonlinearities
• Analysis of a Model Representing Stage-Structured Population Growth with State-Dependent Time Delay
• The Operator of Translation Along the Trajectories of Differential Equations

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