Results 21 to 30 of about 1,642 (135)

A mathematical analysis of the impact of maternally derived immunity and double-dose vaccination on the spread and control of measles

open access: yesComputational and Mathematical Biophysics, 2023
Measles is a highly communicable viral infection that mostly affects children aged 5 years and below. Maternal antibodies in neonates help protect them from infectious diseases, including measles. However, maternal antibodies disappear a few months after
Opoku Samuel   +2 more
doaj   +1 more source

On the complete phase synchronization for the Kuramoto model in the mean-field limit [PDF]

open access: yes, 2014
We study the Kuramoto model for coupled oscillators. For the case of identical natural frequencies, we give a new proof of the complete frequency synchronization for all initial data; extending this result to the continuous version of the model, we ...
Benedetto, Dario   +2 more
core   +1 more source

A General Multipatch Model of Ebola Dynamics

open access: yesNonautonomous Dynamical Systems, 2021
A model for the transmission dynamics of Ebola virus in a multipatch network setting is studied. The model considers the contribution to the dynamics by people who are susceptible, infectious, isolated, deceased but still infectious and not yet buried ...
Rebaza Jorge
doaj   +1 more source

Null controllability for a degenerate population model in divergence form via Carleman estimates

open access: yesAdvances in Nonlinear Analysis, 2019
In this paper we consider a degenerate population equation in divergence form depending on time, on age and on space and we prove a related null controllability result via Carleman estimates.
Fragnelli Genni
doaj   +1 more source

Dynamical analysis of a Lotka Volterra commensalism model with additive Allee effect

open access: yesOpen Mathematics, 2022
We propose and analyze a Lotka-Volterra commensal model with an additive Allee effect in this article. First, we study the existence and local stability of possible equilibria.
He Xiaqing   +3 more
doaj   +1 more source

Extinction of a two species non-autonomous competitive system with Beddington-DeAngelis functional response and the effect of toxic substances

open access: yesOpen Mathematics, 2016
A two species non-autonomous competitive phytoplankton system with Beddington-DeAngelis functional response and the effect of toxic substances is proposed and studied in this paper.
Chen Fengde   +2 more
doaj   +1 more source

Periodic solution of a discrete commensal symbiosis model with Hassell-Varley type functional response

open access: yesNonautonomous Dynamical Systems, 2022
A non-autonomous discrete commensal symbiosis model with Hassell-Varley type functional response is proposed and studied in this paper. Sufficient conditions are obtained for the existence of positive periodic solution of the system.
Chen Shangming, Chong Yanbo, Chen Fengde
doaj   +1 more source

Size-structured populations: immigration, (bi)stability and the net growth rate [PDF]

open access: yes, 2009
We consider a class of physiologically structured population models, a first order nonlinear partial differential equation equipped with a nonlocal boundary condition, with a constant external inflow of individuals. We prove that the linearised system is
A.S. Ackleh   +23 more
core   +2 more sources

A Mixed‐Culture Model of a Probiotic Biofilm Control System

open access: yesComputational and Mathematical Methods in Medicine, Volume 11, Issue 2, Page 99-118, 2010., 2010
We present a mathematical model and computer simulations for the control of a pathogenic biofilm by a probiotic biofilm. This is a substantial extension of a previous model of control of a pathogenic biofilm by microbial control agents that are suspended in the aqueous bulk phase (H. Khassehkhan and H.J. Eberl, Comp. Math. Meth.
Hermann J. Eberl   +2 more
wiley   +1 more source

Sufficient and necessary condition for the permanence of periodic predator‐prey system

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 43, Page 2307-2323, 2004., 2004
We consider the permanence of a periodic predator‐prey system, where the prey disperse in a two‐patch environment. We assume the Volterra within‐patch dynamics and provide a sufficient and necessary condition to guarantee the predator and prey species to be permanent by using the techniques of inequality analysis.
Jingan Cui, Xinyu Song
wiley   +1 more source

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