Multiple invasion speeds in a two-species integro-difference competition model

DOI10.1007/S00285-017-1200-ZzbMath1390.92114OpenAlexW2783961004WikidataQ47562284 ScholiaQ47562284MaRDI QIDQ1750659

Bingtuan Li

Publication date: 22 May 2018

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00285-017-1200-z

zbMATH Keywords

competitionintegro-difference equationlinear determinacyspreading speed

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Ecology (92D40) Applications of difference equations (39A60)

Related Items (4)

Reaction-diffusion modeling of \textit{E. coli} colony growth based on nutrient distribution and agar dehydration ⋮ Stacked invasion waves in a competition-diffusion model with three species ⋮ Asymptotic spreading of interacting species with multiple fronts. II: Exponentially decaying initial data ⋮ Asymptotic spreading of interacting species with multiple fronts. I: A geometric optics approach

Cites Work

• Unnamed Item
• Persistence and spreading speeds of integro-difference equations with an expanding or contracting habitat
• Spreading speeds and traveling waves in competitive recursion systems
• Biological growth and spread modeled by systems of recursions. I: Mathematical theory
• An extension of the formula for spreading speeds
• Existence of traveling waves for integral recursions with nonmonotone growth functions
• Propagating fronts for competing species equations with diffusion
• Spreading speed and linear determinacy for two-species competition models
• Analysis of linear determinacy for spread in cooperative models
• Anomalous spreading speeds of cooperative recursion systems
• Success, failure, and spreading speeds for invasions on spatial gradients
• Spreading speeds as slowest wave speeds for cooperative systems
• Travelling wave solutions in delayed cooperative systems
• Long-Time Behavior of a Class of Biological Models
• On the bounded solutions of a nonlinear convolution equation
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• A Nonlinear Integral Operator Arising from a Model in Population Genetics I. Monotone Initial Data
• Persistence and Spread of a Species with a Shifting Habitat Edge
• Spreading speed and travelling wave solutions of a partially sedentary population

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