The Experts below are selected from a list of 831657 Experts worldwide ranked by ideXlab platform
Mingxin Wang - One of the best experts on this subject based on the ideXlab platform.
-
existence uniqueness and asymptotic behavior of traveling wave fronts for a vector Disease Model
Nonlinear Analysis-real World Applications, 2010Co-Authors: Mingxin WangAbstract:Abstract This paper is concerned with the existence, uniqueness and asymptotic behavior of traveling wave fronts for a vector Disease Model. We first establish the existence of traveling wave fronts by using geometric singular perturbation theory. Then the asymptotic behavior and uniqueness of traveling wave fronts are obtained by using the standard asymptotic theory and sliding method. In addition, our method is also suitable to establish the uniqueness and asymptotic behavior of traveling wave fronts for a cooperative system.
Guojian Lin - One of the best experts on this subject based on the ideXlab platform.
-
travelling wave fronts in a vector Disease Model with delay
Applied Mathematical Modelling, 2008Co-Authors: Guojian Lin, Yiguang HongAbstract:In this paper, we study the diffusive vector Disease Model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the Disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method.
Yiguang Hong - One of the best experts on this subject based on the ideXlab platform.
-
travelling wave fronts in a vector Disease Model with delay
Applied Mathematical Modelling, 2008Co-Authors: Guojian Lin, Yiguang HongAbstract:In this paper, we study the diffusive vector Disease Model with delay. This problem with strong biological background has attracted much research attention. We focus on the existence of traveling wave fronts, and find that there is a moving zone for the transition from the Disease-free state to the infective state. To complete the theoretical analysis, we employ the mathematical tools including the monotone iteration technique as well as the upper and lower solution method.
Rose L. Pfefferbaum - One of the best experts on this subject based on the ideXlab platform.
-
Contagion in stress. An infectious Disease Model for posttraumatic stress in children.
Child and Adolescent Psychiatric Clinics of North America, 1998Co-Authors: Betty Pfefferbaum, Rose L. PfefferbaumAbstract:Posttraumatic stress responses involve the development of characteristic symptoms of reexperiencing, arousal, and avoidance following exposure to a traumatic event. This article uses an infectious Disease Model to describe exposure and transmission of posttraumatic stress responses, individual susceptibility and resilience, onset of symptoms, and prevention and control.
Ali Traoré - One of the best experts on this subject based on the ideXlab platform.
-
Analysis of a vector-borne Disease Model with human and vectors immigration
Journal of Applied Mathematics and Computing, 2020Co-Authors: Ali TraoréAbstract:We study the stability analysis of a vector-borne Disease Model. A wind-borne long-distance immigration of vectors and human immigration are considered. We assume a nonlinear incidence function including mass action and saturating incidence as special cases. There is no Disease-free equilibrium and therefore no basic reproduction number. The only equilibrium is an endemic equilibrium. By the Lyapunov method, we show that this endemic equilibrium is globally asymptotically stable. We established that when the fraction of infective human and vectors immigrants approaches a small value, there is a threshold for which the Disease can be reduced in the community.
