Some Novel Results in Two Species Competition
DOI10.1137/20M1387274zbMath1473.35055arXiv2008.02704OpenAlexW3200020633MaRDI QIDQ4958869
Eric M. Takyi, Kwadwo Antwi-Fordjour, Rana D. Parshad
Publication date: 15 September 2021
Published in: SIAM Journal on Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2008.02704
reaction diffusion systemtwo species competitionfinite time extinctionspatially inhomogeneous resources
Asymptotic behavior of solutions to PDEs (35B40) Reaction-diffusion equations (35K57) Ecology (92D40) Monotone systems involving ordinary differential equations (34C12) Initial-boundary value problems for second-order parabolic systems (35K51)
Related Items (2)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global dynamics of the Lotka-Volterra competition-diffusion system with equal amount of total resources. II
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system. II: The general case
- Local dynamics of a diffusive predator-prey model in spatially heterogeneous environment
- Modeling herd behavior in population systems
- Can spatial variation alone lead to selection for dispersal?
- The hydra effect in predator-prey models
- The effects of diffusion and spatial variation in Lotka-Volterra competition-diffusion system I: Heterogeneity vs. homogeneity
- On the dependence of population size upon random dispersal rate
- Global stability of nonhomogeneous equilibrium solution for the diffusive Lotka-Volterra competition model
- Loops and branches of coexistence states in a Lotka--Volterra competition model
- Dispersal and spatial heterogeneity: single species
- Principal eigenvalue for an elliptic problem with indefinite weight on cylindrical domains
- The evolution of slow dispersal rates: a reaction diffusion model
- Diffusion-induced extinction of a superior species in a competition system
- Critical blowup exponents for a system of reaction-diffusion equations with absorption
- The evolution of dispersal rates in a heterogeneous time-periodic environment
- Do fatal infectious diseases eradicate host species?
- Maximization of the total population in a reaction-diffusion model with logistic growth
- Times from infection to disease-induced death and their influence on final population sizes after epidemic outbreaks
- Well-posedness and exponential equilibration of a volume-surface reaction-diffusion system with nonlinear boundary coupling
- Dynamics of a consumer-resource reaction-diffusion model. Homogeneous versus heterogeneous environments
- Multiple reversals of competitive dominance in ecological reserves via external habitat degradation
- On the Lambert \(w\) function
- Separatrices of competition-diffusion equations
- Predator-prey dynamics with square root functional responses
- A remark on ``Biological control through provision of additional food to predators: a theoretical study
- Dynamics of a predator-prey model with generalized Holling type functional response and mutual interference
- Maximizing the total population with logistic growth in a patchy environment
- Optimal location of resources maximizing the total population size in logistic models
- Global dynamics of the diffusive Lotka-Volterra competition model with stage structure
- Some monotone properties for solutions to a reaction-diffusion model
- On the effects of migration and spatial heterogeneity on single and multiple species
- Optimal control of growth coefficient on a steady-state population model
- An optimization problem and its application in population dynamics
- Global Dynamics of the Lotka-Volterra Competition-Diffusion System: Diffusion and Spatial Heterogeneity I
- Dynamics of populations with individual variation in dispersal on bounded domains
- Global asymptotic stability of a predator–prey system of Holling type
- On a predator-prey system of Holling type
- Competing Species near a Degenerate Limit
- Spatial Ecology via Reaction‐Diffusion Equations
- Optimal Location of Resources for Biased Movement of Species: The 1D Case
- Decay to Uniform States in Ecological Interactions
- Uniqueness and Complete Dynamics in Heterogeneous Competition-Diffusion Systems
- A predator-prey system with Holling-type functional response
This page was built for publication: Some Novel Results in Two Species Competition