Results 1 to 10 of about 183,857 (232)
Mathematics, 2019 In this paper, we study the traveling wave solutions for a nonlocal dispersal SIR epidemic model with standard incidence rate and nonlocal delayed transmission.
Kuilin Wu, Kai Zhou
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Stability of bistable traveling wavefronts for a nonlocal dispersal epidemic system [PDF]
Electronic Journal of Differential Equations, 2022 This article concerns the stability of traveling wavefronts for a nonlocal dispersal epidemic system. Under a bistable assumption, we first construct a pair of upper-lower solutions and employ the comparison principle to prove that the traveling ...
Yu-Cai Hao, Guo-Bao Zhang
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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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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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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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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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Propagation and reaction–diffusion models with free boundaries
Bulletin of Mathematical Sciences, 2022 In this short survey, we describe some recent developments on the modeling of propagation by reaction-differential equations with free boundaries, which involve local as well as nonlocal diffusion.
Yihong Du
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Global proprieties of an SIR epidemic model with nonlocal diffusion and immigration
Results in Physics, 2022 Immigration is the responsible for transmitting disease from one country to another. In this research, we investigate the global proprieties of an SIR model with nonlocal dispersal and immigration.
Anwar Zeb +4 more
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Minimal wave speed in a dispersal predator–prey system with delays
Boundary Value Problems, 2018 This paper is concerned with the minimal wave speed in a nonlocal dispersal predator–prey system with delays. We define a threshold. By presenting the existence and nonexistence of traveling wave solutions, we confirm that the threshold is the minimal ...
Xue-Shi Li, Shuxia Pan, Hong-Bo Shi
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