Asymmetric dispersal in the multi-patch logistic equation

Theoretical Population Biology ◽

10.1016/j.tpb.2017.12.006 ◽

2018 ◽

Vol 120 ◽

pp. 11-15 ◽

Cited By ~ 10

Author(s):

Roger Arditi ◽

Claude Lobry ◽

Tewfik Sari

Keyword(s):

Logistic Equation ◽

Asymmetric Dispersal

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Estimation of the Region of Global Stability of the Equilibrium State of the Logistic Equation with Delay

Russian Mathematics ◽

10.3103/s1066369x20090042 ◽

2020 ◽

Vol 64 (9) ◽

pp. 34-49

Author(s):

S. A. Kashchenko ◽

D. O. Loginov

Keyword(s):

Equilibrium State ◽

Global Stability ◽

Logistic Equation ◽

Equation With Delay

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Faculty Opinions recommendation of Effects of asymmetric dispersal on the coexistence of competing species.

Faculty Opinions – Post-Publication Peer Review of the Biomedical Literature ◽

10.3410/f.2393966.2027067 ◽

2010 ◽

Author(s):

Lewi Stone ◽

Frank Hilker

Keyword(s):

Competing Species ◽

Asymmetric Dispersal

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Evolutionary Consequences of Asymmetric Dispersal Rates

The American Naturalist ◽

10.2307/3079280 ◽

2002 ◽

Vol 160 (3) ◽

pp. 333

Author(s):

Kawecki ◽

Holt

Keyword(s):

Asymmetric Dispersal ◽

Evolutionary Consequences

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Numerical solution of the fractional‐order logistic equation via the first‐kind Dickson polynomials and spectral tau method

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7345 ◽

2021 ◽

Author(s):

Adel Abd Elaziz El‐Sayed ◽

Salah Boulaaras ◽

N. H. Sweilam

Keyword(s):

Numerical Solution ◽

Fractional Order ◽

Logistic Equation ◽

Tau Method ◽

Dickson Polynomials

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Persistence and extinction of a stochastic delay Logistic equation under regime switching

Applied Mathematics Letters ◽

10.1016/j.aml.2012.04.010 ◽

2013 ◽

Vol 26 (1) ◽

pp. 140-144 ◽

Cited By ~ 14

Author(s):

Meng Liu ◽

Wenxue Li ◽

Ke Wang

Keyword(s):

Regime Switching ◽

Logistic Equation ◽

Stochastic Delay ◽

Delay Logistic Equation

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Corrigendum to “The diffusive logistic equation with a free boundary and sign-changing coefficient” [J. Differential Equations 258 (4) (2015) 1252–1266]

Journal of Differential Equations ◽

10.1016/j.jde.2015.10.006 ◽

2016 ◽

Vol 260 (2) ◽

pp. 1990-1991

Author(s):

Mingxin Wang

Keyword(s):

Free Boundary ◽

Differential Equations ◽

Logistic Equation ◽

Diffusive Logistic Equation

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Propagation dynamics of Lotka-Volterra competition systems with asymmetric dispersal in periodic habitats

Journal of Differential Equations ◽

10.1016/j.jde.2021.07.041 ◽

2021 ◽

Vol 300 ◽

pp. 185-225

Author(s):

Yu-Xia Hao ◽

Wan-Tong Li ◽

Jia-Bing Wang

Keyword(s):

Asymmetric Dispersal ◽

Propagation Dynamics

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Impact of Regional Difference in Recovery Rate on the Total Population of Infected for a Diffusive SIS Model

Mathematics ◽

10.3390/math9080888 ◽

2021 ◽

Vol 9 (8) ◽

pp. 888

Author(s):

Jumpei Inoue ◽

Kousuke Kuto

Keyword(s):

Recovery Rate ◽

Regional Difference ◽

Total Population ◽

Reproduction Number ◽

Reaction Diffusion ◽

Logistic Equation ◽

Sis Model ◽

Reaction Diffusion Model ◽

Diffusive Logistic Equation ◽

Sis Epidemic

This paper is concerned with an SIS epidemic reaction-diffusion model. The purpose of this paper is to derive some effects of the spatial heterogeneity of the recovery rate on the total population of infected and the reproduction number. The proof is based on an application of our previous result on the unboundedness of the ratio of the species to the resource for a diffusive logistic equation. Our pure mathematical result can be epidemically interpreted as that a regional difference in the recovery rate can make the infected population grow in the case when the reproduction number is slightly larger than one.

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