Fisher waves in an epidemic model

Author: aoga

August undefined, 2024

WebJun 1, 2024 · Xiao-Qiang Zhao: Fisher Waves In An Epidemic Model, Discrete And Continuous Dynamical Systems Series B Volume 4, Number 4 (Nov 2004), pp 1117 … 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.

Spatial propagation in an epidemic model with nonlocal

WebAug 23, 2024 · In 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 ... 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. how do heat guns work

Asymptotic behavior of traveling waves for non-quasi

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 and waves occur. 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 ... 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 … how much is import duty uk

Bility and traveling wavefronts for a convolution model of mistletoes ...

Traveling wave solutions for a diffusive age-structured SIR …

WebIn 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... 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 … how do heat pumps work wikiWebDec 31, 2002 · The existence of Fisher type monotone traveling waves and theminimal wave speed are established for a reaction-diffusion system modelingman-environment-man … how much is impound fee per day

"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 … " - Fisher waves in an epidemic model

Fisher waves in an epidemic model

Bistable Waves in an Epidemic Model Semantic Scholar

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. … 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 …

Did you know?

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 … WebApr 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 ...

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 … WebNov 1, 2024 · In this paper, we study an epidemic model in a periodic patchy environment. It is assumed that all the parameters share the same period N ∈ N.When the basic …

WebAug 1, 2024 · The aim of this paper is to study the periodic traveling wave solutions in a nonautonomous reaction-diffusion susceptible-infected-removed epidemic model with general nonlinear incidence and time ... WebNov 30, 2014 · A convolution model of mistletoes and birds with nonlocal diffusion is considered in this paper. We first consider the stability of the constant steady states of the model by linearized method, and then the existence of traveling solutions. ... X.-Q. Zhao and W. D. Wang, Fisher waves in an epidemic model, Discrete Contin. Dyn. Syst. Ser. B, 4 ...

WebSep 13, 2024 · Xu, D., Zhao, X.Q.: Asymptotic speed of spread and traveling waves for a nonlocal epidemic model. Discrete Continuous Dyn. Syst. Ser. B 5, 1043–1056 (2005) ... Fisher waves in an epidemic model. Discrete Continuous Dyn. Syst. Ser. B 4, 1117–1128 (2004) Article MathSciNet MATH Google Scholar ...

how do heat pumps work in canadaWebMay 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 … how do heat pump systems workWebMar 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. … how much is import taxWebJun 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. … how much is imprint appWebJun 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 ... how much is imported from chinaWebFISHER WAVES IN AN EPIDEMIC MODEL 1119 2. Reduction to scalar equations. The objective of this section is to reduce the existence of traveling wave solutions of system … how do heat recovery systems workWebNov 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 … how much is imputed income tax in spain