Results 21 to 30 of about 442 (145)

Exponential stability of traveling waves for a nonlocal dispersal SIR model with delay

open access: yesOpen Mathematics, 2022
This article is concerned with the nonlinear stability of traveling waves of a delayed susceptible-infective-removed (SIR) epidemic model with nonlocal dispersal, which can be seen as a continuity work of Li et al.
Wu Xin, Ma Zhaohai
doaj   +1 more source

Almost periodic solutions of a commensalism system with Michaelis-Menten type harvesting on time scales

open access: yesOpen Mathematics, 2019
In this paper, we consider an almost periodic commensal symbiosis model with nonlinear harvesting on time scales. We establish a criterion for the existence and uniformly asymptotic stability of unique positive almost periodic solution of the system. Our
Xue Yalong, Xie Xiangdong, Lin Qifa
doaj   +1 more source

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

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

Global stability of a modified Leslie-Gower model with Beddington-DeAngelis functional response

open access: yes, 2014
A predator-prey model with modified Leslie-Gower and Beddington-DeAngelis functional response is studied. The local stability of the equilibria and the permanence of the system are investigated. By applying the fluctuation lemma, qualitative analysis and
Shengbin Yu
semanticscholar   +1 more source

Mathematical Models for Population Dynamics: Randomness versus Determinism

open access: yes, 2020
. Mathematical models are used more and more frequently in Life Sciences. These may be deterministic, or stochastic. We present some classical models for population dynamics and discuss in particular the averaging effect in the setting of large ...
J. Bertoin
semanticscholar   +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

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