Traveling Waves with Critical Speed in a Delayed Diffusive Epidemic Model
نویسندگان
چکیده
منابع مشابه
Travelling waves of a diffusive Kermack–McKendrick epidemic model with non-local delayed transmission
We obtain full information about the existence and non-existence of travelling wave solutions for a general class of diffusive Kermack–McKendrick SIR models with nonlocal and delayed disease transmission. We show that this information is determined by the basic reproduction number of the corresponding ordinary differential model, and the minimal wave speed is explicitly determined by the delay ...
متن کاملSpreading speed and traveling waves for a multi-type SIS epidemic model
The theory of asymptotic speeds of spread and monotone traveling waves for monotone semiflows is applied to a multi-type SIS epidemic model to obtain the spreading speed c∗, and the nonexistence of traveling waves with wave speed c < c∗. Then the method of upper and lower solutions is used to establish the existence of monotone traveling waves connecting the disease-free and endemic equilibria ...
متن کاملSpreading speed and traveling waves for the diffusive logis- tic equation with a sedentary compartment
By applying the theory of asymptotic speeds of spread and traveling waves to the diffusive logistic equation with a sedentary compartment, we establish the existence of minimal wave speed for monotone traveling waves and show that it coincides with the spreading speed for solutions with initial functions having compact supports.
متن کاملAnalysis on the critical speed of traveling waves
The note is concerned with a time-delayed reaction–diffusion equation with nonlocality for the population dynamics of single species. For the critical speed of traveling waves, we give a detailed analysis on its location and asymptotic behavior with respect to the parameters of the diffusion rate and mature age, respectively. c © 2006 Elsevier Ltd. All rights reserved.
متن کاملTraveling waves in a diffusive predator–prey model with holling type-III functional response
We establish the existence of traveling wave solutions and small amplitude traveling wave train solutions for a reaction-diffusion system based on a predator–prey model with Holling type-III functional response. The analysis is in the three-dimensional phase space of the nonlinear ordinary differential equation system given by the diffusive predator– prey system in the traveling wave variable. ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Archives of Current Research International
سال: 2018
ISSN: 2454-7077
DOI: 10.9734/acri/2018/44885