Fisher waves in an epidemic model
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 … WebJan 1, 2024 · 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 ...
Fisher waves in an epidemic model
Did you know?
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 ... WebThis paper is devoted to investigating the selection mechanism of the minimal wave speed for traveling waves to an epidemic model. The determinacy of linear and nonlinear …
WebJun 1, 2024 · This paper is concerned with the spatial propagation of an SIR epidemic model with nonlocal diffusion and free boundaries describing the evolution of a disease. … 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 ...
WebAug 1, 1993 · The existence of Fisher type monotone traveling waves and the minimal wave speed are established for a reaction-diffusion system modeling ... A mathematical … WebSep 2, 2006 · Volz R. (1982). Global asymptotic stability of a periodic solution to an epidemic model. J. Math. Biol. 15, 319–338. Article MATH MathSciNet Google Scholar ... Wang W. (2004). Fisher waves in an epidemic model. Discret. Contin. Dyn. Syst. Ser. B 4, 1117–1128. Article MATH Google Scholar Download references. Author information.
WebWe study the wave solutions for a degenerated reaction diffusion system arising from the invasion of cells. We show that there exists a family of waves for the wave speed larger than or equal a certain number and below which there are no monotonic wave solutions. We also investigate the monotonicity, uniqueness, and asymptotics of the waves.
WebJul 1, 2024 · Ducrot and Magal [3] also studied the existence and non-existence of traveling wave solutions of a age-structured SI epidemic model with external supplies. Inspired … small tags templateWebSep 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. … highway nashville radio stationWebFisher waves in an epidemic model. Article. Nov 2004; Xiaoqiang Zhao; Wendi Wang; The existence of Fisher type monotone traveling waves and the minimal wave speed are established for a reaction ... small tahitian pearl braceletWebApr 12, 2024 · MIS-C patients presented with distinct laboratory features across the COVID-19 pandemic. Violin plots depicting differences in key laboratory MIS-C features in patients presenting during the four waves (panel A) and both phases (phase one is wave one and two combined, phase two is wave three and four combined; panel B) of the COVID-19 … small tail pencil wrasseWebDec 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. highway naming conventionWebMay 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 … highway natives bandWebIn this work, a characterization of Traveling Waves (TW) solutions to a cooperative system formulated with an order four operator, with a nonlinear advection and a Fisher–KPP reaction term is intro... highway navigation system using lifi