Persistence and propagation of a discrete-time map and PDE hybrid model with strong Allee effect

DOI10.1016/j.nonrwa.2021.103336zbMath1480.92182OpenAlexW3156845419MaRDI QIDQ2066564

Hao Wang, Yurij Salmaniw, Zhenkun Wang

Publication date: 14 January 2022

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2021.103336

zbMATH Keywords

global stabilitypersistencetraveling wave solutionallee effectdiscrete-time map and PDE hybrid modelimpulsive reaction-diffusion equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Reaction-diffusion equations (35K57) Population dynamics (general) (92D25) Ecology (92D40) Traveling wave solutions (35C07)

Related Items (2)

Properties of traveling waves in an impulsive reaction-diffusion model with overcompensation ⋮ Turing patterns in a predator-prey reaction-diffusion model with seasonality and fear effect

Cites Work

• Analysis of spread and persistence for stream insects with winged adult stages
• Bistable travelling waves in competitive recursion systems
• Spreading speed and traveling wave solutions in impulsive reaction-diffusion models
• Bistable traveling waves for monotone semiflows with applications
• The approach of solutions of nonlinear diffusion equations to travelling front solutions
• Existence, uniqueness, and asymptotic stability of traveling waves in nonlocal evolution equations
• Integrodifference equations, Allee effects, and invasions
• Bistable waves of a recursive system arising from seasonal age-structured population models
• Spreading speed, traveling waves, and minimal domain size in impulsive reaction-diffusion models
• A reaction-diffusion population growth equation with multiple pulse perturbations
• Allee dynamics and the spread of invading organisms
• Impulsive adult culling of a tropical pest with a stage-structured life cycle
• On Impulsive Reaction-Diffusion Models in Higher Dimensions
• Global behavior of solutions of a periodically forced Sigmoid Beverton–Holt model
• Difference equations with the Allee effect and the periodic Sigmoid Beverton–Holt equation revisited
• Long-Time Behavior of a Class of Biological Models
• Asymptotic speeds of spread and traveling waves for monotone semiflows with applications
• A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data
• Analysis of Propagation for Impulsive Reaction-Diffusion Models
• Dynamical systems in population biology

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