On the conjecture for the pushed wavefront to the diffusive Lotka–Volterra competition model
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Biology"
DOI: 10.1007/s00285-020-01467-0
Abstract: This paper concerns ecological invasion phenomenon of species based on the diffusive Lotka–Volterra competition model. We investigate the spreading speed (or the minimal wave speed of traveling waves) selection to the model and concentrate on… read more here.
Keywords: conjecture; volterra competition; competition model; lotka volterra ... See more keywords
Two-species competition model with chemotaxis: well-posedness, stability and dynamics
Sign Up to like & getrecommendations! Published in 2022 at "Nonlinearity"
DOI: 10.1088/1361-6544/ac4a8d
Abstract: We study a system of PDEs modelling the population dynamics of two competitive species whose spatial movements are governed by both diffusion and mutually repulsive chemotaxis effects. We prove that solutions to this system are… read more here.
Keywords: species competition; two species; competition model; chemotaxis ... See more keywords
Local mate competition model alone cannot predict the offspring sex ratio in large and dense populations of a haplodiploid arthropod
Sign Up to like & getrecommendations! Published in 2022 at "Current Zoology"
DOI: 10.1093/cz/zoac022
Abstract: aSchool of Agriculture and Environment, Massey University, Private Bag 11222, Palmerston North 4442, New Zealand and bFaculty of Animal Science and Export Agriculture, Uva Wellassa University of Sri Lanka, Passara Road, Badulla 90000, Sri Lanka… read more here.
Keywords: model alone; local mate; mate competition; alone predict ... See more keywords
Dynamics of an autonomous Gilpin–Ayala competition model with random perturbation
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Biomathematics"
DOI: 10.1142/s1793524520500436
Abstract: This paper discusses the dynamics of a Gilpin–Ayala competition model of two interacting species perturbed by white noise. We obtain the existence of a unique global positive solution of the system and the solution is… read more here.
Keywords: gilpin ayala; competition model; dynamics autonomous; ayala competition ... See more keywords
Analysis of a stochastic cooperation-competition model
Sign Up to like & getrecommendations! Published in 2018 at "Advances in Difference Equations"
DOI: 10.1186/s13662-018-1491-4
Abstract: In this paper, we explore dynamic properties of a stochastic cooperation-competition model. Some sufficient conditions are established for stochastic persistence and stochastic extinction of species. Studies suggest that the noise may have a positive effect… read more here.
Keywords: model; cooperation competition; stochastic cooperation; competition model ... See more keywords