Traveling wave solutions of a reaction diffusion model for competing pioneer and climax species

DOI10.1016/j.mbs.2004.10.001zbMath1063.92050OpenAlexW2154456764WikidataQ51975848 ScholiaQ51975848MaRDI QIDQ1781618

Niranjan Chakravarthy

Publication date: 27 June 2005

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2004.10.001

zbMATH Keywords

Traveling WavesPioneer-climax modelReaction-Diffusionspatial homogeneous model

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Reaction-diffusion equations (35K57) Ecology (92D40)

Related Items

Minimal wave speed and spread speed of competing pioneer and climax species, Traveling wavefronts of competing pioneer and climax model with nonlocal diffusion, Bifurcation analysis of a diffusive model of pioneer and climax species interaction, An exclusion principle and the importance of mobility for a class of biofilm models, Traveling wavefronts of a diffusive competing pioneer and climax system with delays, Exclusive traveling waves for competitive reaction-diffusion systems and their stabilities, Single spreading speed and traveling wave solutions of a diffusive pioneer-climax model without cooperative property, Invasion dynamics of a diffusive pioneer-climax model: monotone and non-monotone cases, Dynamics of a pioneer-climax species model with migration, Linear and nonlinear stability thresholds for a diffusive model of pioneer and climax species interaction, Rich spatial-temporal dynamics in a diffusive population model for pioneer-climax species, Co-invasion waves in a reaction diffusion model for competing pioneer and climax species

Cites Work

• Transversal heteroclinic and homoclinic orbits in singular perturbation problems
• How predation can slow, stop or reverse a prey invasion
• Hopf bifurcation in pioneer-climax competing species models
• Geometric singular perturbation theory for ordinary differential equations
• Discrete time models for two-species competition
• Planting and harvesting for pioneer-climax models
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• STABLE PERIODIC BEHAVIOR IN A PIONEER-CLIMAX MODEL
• NONLINEAR MATRIX MODELS AND POPULATION DYNAMICS
• Stability of Travelling Wave Solutions of Diffusive Predator-Prey Systems
• Perturbation analysis of an approximation to the Hodgkin-Huxley theory
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