Numerical approximation of a stochastic age‐structured population model in a polluted environment with Markovian switching

DOI10.1002/num.22488OpenAlexW3038825175MaRDI QIDQ6088404

Wenrui Li, Ming Ye, Qi-min Zhang, Unnamed Author

Publication date: 14 December 2023

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.22488

zbMATH Keywords

convergencenumerical solutionMarkovian switchingage-structuredtruncated EM

Mathematics Subject Classification ID

Numerical analysis (65-XX) Partial differential equations (35-XX)

Related Items

A new convergence and positivity analysis of balanced Euler method for stochastic age‐dependent population equations, Stationary distribution and optimal control of a stochastic population model in a polluted environment

Cites Work

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• Stationary distribution of stochastic population systems under regime switching
• Numerical solution of the nonlinear age-structured population models by using the operational matrices of Bernstein polynomials
• The truncated Euler-Maruyama method for stochastic differential equations
• The partially truncated Euler-Maruyama method and its stability and boundedness
• Optimal control for age-dependent population hybrid system in a polluted environment
• Permanence and asymptotical behavior of stochastic prey-predator system with Markovian switching
• Effects of toxicants on populations: a qualitative approach II. First order kinetics
• Population dynamical behavior of Lotka-Volterra system under regime switching
• Evolution of predator-prey systems described by a Lotka-Volterra equation under random environment
• Survival and stationary distribution analysis of a stochastic competitive model of three species in a polluted environment
• Convergence rates of the truncated Euler-Maruyama method for stochastic differential equations
• A single stage-structured population model with mature individuals in a polluted environment and pulse input of environmental toxin
• On competitive Lotka-Volterra model in random environments
• Higher-order implicit strong numerical schemes for stochastic differential equations
• Stability of stochastic differential equations with Markovian switching
• Numerical solution of a fuzzy stochastic single-species age-structure model in a polluted environment
• Explicit approximations for nonlinear switching diffusion systems in finite and infinite horizons
• Persistence and extinction of a stochastic single-specie model under regime switching in a polluted environment
• A note on almost sure asymptotic stability of neutral stochastic delay differential equations with Markovian switching
• Persistence and ergodicity of plant disease model with Markov conversion and impulsive toxicant input
• Survival and ergodicity of a stochastic phytoplankton-zooplankton model with toxin-producing phytoplankton in an impulsive polluted environment
• Trinition the complex number with two imaginary parts: fractal, chaos and fractional calculus
• The effect of Lévy noise on the survival of a stochastic competitive model in an impulsive polluted environment
• Stochastic population dynamics under regime switching
• A Stochastic Differential Equation SIS Epidemic Model
• Capturing complexities with composite operator and differential operators with non-singular kernel
• The Effects of Impulsive Toxicant Input on a Population in a Polluted Environment