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 … WebApr 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 …
Stability analysis and Hopf bifurcation in a diffusive epidemic model ...
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. WebJun 9, 2024 · A diffusive epidemic model with two delays subjecting to Neumann boundary conditions is considered. First we obtain the existence and the stability of the positive constant steady state. Then we investigate the existence of Hopf bifurcations by analyzing the distribution of the eigenvalues. Furthermore, we derive the normal form on … canada customs thunder bay
Speed Selection of Traveling Waves to an Epidemic Model
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. 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 ... 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 ... canada customs information