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Dynamics and asymptotic profiles of a local-nonlocal dispersal SIR epidemic model with spatial heterogeneity [PDF]
Infectious Disease ModellingThis research investigates a novel approach to modeling an SIR epidemic in a heterogeneous environment by imposing certain restrictions on population mobility.
Salih Djilali +2 more
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Free boundary problem for a nonlocal time-periodic diffusive competition model
Mathematical Biosciences and Engineering, 2023 In this paper we consider a free boundary problem for a nonlocal time-periodic competition model. One species is assumed to adopt nonlocal dispersal, and the other one adopts mixed dispersal, which is a combination of both random dispersal and nonlocal ...
Qiaoling Chen +3 more
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Mathematical Biosciences and Engineering, 2021 This paper is about the existence of traveling wave solutions for a delayed nonlocal dispersal SIR epidemic model with the critical wave speed. Because of the introduction of nonlocal dispersal and the generality of incidence function, it is difficult to
Shiqiang Feng , Dapeng Gao
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A nonlocal population model for the invasion of Canada goldenrod
Mathematical Biosciences and Engineering, 2022 A mathematical model for the population invasion of Canada goldenrod is proposed, with two reproductive modes, yearly periodic time delay and spatially nonlocal response caused by the influence of wind on the seeds.
Jian Fang, Na Li, Chenhe Xu
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Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay
Open Mathematics, 2022 This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
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Long-time behavior of a nonlocal dispersal logistic model with seasonal succession
Mathematics in Applied Sciences and Engineering, 2022 This paper is devoted to a nonlocal dispersal logistic model with seasonal succession in one-dimensional bounded habitat, where the seasonal succession accounts for the effect of two different seasons.
Zhenzhen Li, Binxiang Dai
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Solvability for a nonlocal dispersal model governed by time and space integrals
Open Mathematics, 2022 This work is to analyze a nonlocal dispersal model governed by a Volterra type integral and two space integrals. A weighted integral is included, and an existence result of solutions for this model is proved.
Yu Yang-Yang, Wang Fu-Zhang
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The Traveling Wave Solutions in a Mixed-Diffusion Epidemic Model
Fractal and Fractional, 2022 In this paper, we study the traveling wave solution of an epidemic model with mixed diffusion. First, we give two definitions of the minimum wave speeds and prove that they are equivalent.
Ru Hou, Wen-Bing Xu
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Is a nonlocal diffusion strategy convenient for biological populations in competition? [PDF]
, 2015 We study the convenience of a nonlocal dispersal strategy in a reaction-diffusion system with a fractional Laplacian operator. We show that there are circumstances - namely, a precise condition on the distribution of the resource - under which a nonlocal
Massaccesi, Annalisa, Valdinoci, Enrico
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Resolvent Positive Linear Operators Exhibit the Reduction Phenomenon [PDF]
, 2011 The spectral bound, s(a A + b V), of a combination of a resolvent positive linear operator A and an operator of multiplication V, was shown by Kato to be convex in b \in R.
Cantrell +15 more
core +3 more sources