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 ... 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 …
Speed Selection of Traveling Waves to an Epidemic Model
WebSep 8, 2024 · This paper studies an epidemic model with nonlocal dispersals. We focus on the influences of initial data and nonlocal dispersals on its spatial propagatio ... Zhao X-Q, Wang W. Fisher waves in an epidemic model. Discrete Contin Dyn Syst Ser B, 2004, 4: 1117–1128. MathSciNet MATH Google Scholar Download references. … 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 ... fiu football colors
Traveling waves in a nonlocal dispersal epidemic model with spatio ...
WebDec 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. WebAug 30, 2013 · Fisher waves in an epidemic model. Xiao-Qiang Zhao, Wendi Wang; Mathematics. 2004; The existence of Fisher type monotone traveling waves and the minimal wave speed are established for a reaction-diffusion system modeling man-environment-man epidemics via the method of upper and ... WebKan-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 … can i microchip my child