Fisher waves in an epidemic model
WebFor the epidemic curves, the numbers of new cases are presented as absolute numbers and 7-day moving averages. To determine differences between categorical variables, Fisher’s exact test and the χ 2 test (Pearson’s chi-squared test) were used. Positive probabilities for independent variables affecting ICU mortality were calculated using ... 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 ...
Fisher waves in an epidemic model
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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 … 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 …
WebJul 31, 2024 · The system reduces to the epidemic model of Capasso and Maddalena [5] when the boundary is fixed, and it reduces to the model of Ahn et al. [1] if diffusion of the infective host population is ignored. ... X.-Q. Zhao and W. Wang, Fisher waves in an epidemic model,, Discrete Contin. Dyn. Syst. Ser. B, 4 (2004) 1117–1128. doi: … WebMay 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 …
WebAug 1, 2004 · Fisher waves in an epidemic model. 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 lower solutions … 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 …
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 ...
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 … i play unfitting music amyWebNov 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 … i play the piano 意味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. … i play unfitting music sroaWebSep 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 ... i play unfitting musicWebWe 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. i play the roadWebAug 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 ... i play theatreWebJul 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 … i play toys