Fisher waves in an epidemic model
WebMar 30, 2024 · We obtain a more precise estimation of the minimal wave speed of the epidemic model, which is of great practical value in the control of serious epidemics. … WebJul 13, 2024 · In Fisher's model for the migration of advantageous genes, in epidemic models and in the theory of combustion similar existence problems for travelling fronts …
Fisher waves in an epidemic model
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WebJun 16, 2024 · To see whether epidemic disease can propagate spatially with a constant speed, we focus on the travelling wave solution for this model. When the basic reproduction number of the corresponding spatial-homogenous delayed differential system is greater than one and the wave speed is greater than or equal to the critical speed, we prove that this ... WebSep 26, 2024 · This paper deals with the pulsating waves and entire solutions for a spatially periodic nonlocal dispersal model with a quiescent stage. By the method of super- and subsolutions together with the comparison principle, we establish the existence of pulsating waves with any speed larger than the spreading speed. The construction of …
WebThe adequacy of the Cox regression model was assessed via checking the proportional hazards assumption by cumulative sums of martingale residuals over follow-up times or covariate values. ... 95.7% (45/47) versus 68.4% (13/19, data from our previous study of the Delta wave) (p = 0.006, Fisher’s exact test) . This was likewise observed in the ... WebJan 4, 2024 · In this paper, we consider a reaction-diffusion epidemic model with nonlocal diffusion and free boundaries, which generalises the free-boundary …
WebAn SIS Epidemic Model with Vaccination; An SIS Epidemic Model for Vector-Borne Diseases; Stability Switches and Ultimate Stability; An SEIRS Epidemic Model with Two Delays; Quiescence of Epidemics in a Patch Model; Basic Reproductive Numbers in ODE Models; Basic Reproductive Numbers of Models with Delays; Fisher Waves in an … WebJun 9, 2024 · A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. First we obtain the existence and the stability of the positive constant steady state. Then we investigate the existence of Hopf bifurcations by analyzing the distribution of the eigenvalues. Furthermore, we derive the normal form on …
WebMay 16, 2008 · Consider a reaction–diffusion epidemic model (see, e.g., 1 16) where d, α, and β are positive constants; U 1 and U 2 denote the spatial densities of an infectious agent and the infective human population, respectively; and . and . ... Fisher waves in an epidemic model. Discrete Contin. Dyn.
WebMay 31, 2016 · This paper is concerned with traveling waves and entire solutions of one epidemic model with asymmetric dispersal kernel function arising from the spread of an … simple beef raguWebNov 19, 2012 · Xu D and Zhao X Q 2004 Bistable waves in an epidemic model J. Dyn. Diff. Eqns 16 679–707. Crossref Google Scholar ... Zhao X Q and Wang W 2004 Fisher … simple beef ribs recipeWebApr 7, 2024 · Differences in patient age were also analyzed. The incidence of patients with pneumonia diagnosed with influenza presents two waves, one between the age groups of 4-20 and the other in patients above years (Supplementary Figure 3a). When influenza patients are further diagnosed with a bacterial infection (orange bars), a similar pattern is ... raviel lord of phantasms – shimmering scraperWebKan-on , Fisher wave fronts for the Lotka-Volterra competition model with diffusion, Nonlinear Anal. ... Zhao, W.-T. Li and Y. Du , The effect of nonlocal reaction in an epidemic model with nonlocal diffusion and free boundaries, Comm. Pure Appl. Anal. 19 … raviel shimmering scraperWebMay 31, 2024 · In this paper, we investigate the existence and nonexistence of traveling wave solutions in a nonlocal dispersal epidemic model with spatio-temporal delay. It is shown that this model admits a nontrivial positive traveling wave solution when the basic reproduction number $ R_0>1 $ and the wave speed $ c\geq c^* $ ($ c^* $ is the critical … simple beef recipes for dinnerWebJul 1, 2004 · 2024. TLDR. This study proposes an approach to give a complete characterization of the propagation direction of bistable waves for a class ofbistable epidemic models arising from the spread of a cholera epidemic, and gives a parameter threshold above which the epidemic disease eventually tends to extinction, and below … ravie\\u0027s house for fashionistasWebDec 31, 2011 · We study the traveling waves of reaction-diffusion equations for a diffusive SIR model. The existence of traveling waves is determined by the basic reproduction number of the corresponding ordinary differential equations and the minimal wave speed. Our proof is based on Schauder fixed point theorem and Laplace transform. simple beef sausage recipes