Fisher waves in an epidemic model

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August undefined, 2024

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. 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.

Traveling waves and entire solutions for an epidemic model with ...

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 ... WebMar 23, 2024 · Pandemics, like the 1918 Spanish Influenza and COVID-19, spread through regions of the World in subsequent waves. Here we … netherland vs senegal

Speed Selection of Traveling Waves to 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. … WebJan 4, 2024 · In this paper, we consider a reaction-diffusion epidemic model with nonlocal diffusion and free boundaries, which generalises the free-boundary … 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. This model can be viewed as a nonlocal version of the free boundary problem studied by Kim et al. ... Liang X. Semi-wave solutions of KPP-Fisher equations with free boundaries … netherland wandsworth

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Traveling waves solutions for a cooperative system with nonlinear ...

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. 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 ... netherland vs pakistanWebNov 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\u0027ll always remember us this way youtube

"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

Traveling waves solutions for a cooperative system with nonlinear ...

WebFISHER 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 … 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 ...

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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 ... 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 …

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. … WebNov 1, 2004 · Request PDF Fisher waves in an epidemic model The existence of Fisher type monotone traveling waves and the minimal wave speed are established for …

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 … 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: …

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 … i\u0027ll always remember you lyrics miley cyrusWebSep 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 … i\u0027ll always support youWebAt the very beginning of the European spread of SARS-CoV-2, Piedmont was one of the most affected regions in Italy, with a strong impact on healthcare organizations. In this study, we evaluated the characteristics and outcomes of the COVID-19 patients in an entire region during the first three pandemic waves, identifying similarities and differences in the … netherland vs turkeyWebSep 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\u0027ll always remember you like a child girlWebMay 4, 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 ... netherland vs walesWebJun 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. … netherland water actWebAug 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 … i\u0027ll always remember you lyrics