Phase Portraits of a Class of Continuous Piecewise Linear Differential Systems [0.03%]
一类连续分段线性微分系统的相图
Jie Li,Jaume Llibre
Jie Li
The phase portraits of the planar linear differential systems are very well known. This is not the case for the phase portraits of the planar continuous piecewise linear differential systems. In this paper we classify the phase portraits of...
Mario Lefebvre
Mario Lefebvre
A stochastic SIR (Susceptible, Infected, Recovered) model for the spread of a non-lethal disease is considered. The size of the population is constant. The problem of computing the moment-generating function of the random time until all mem...
Ronobir Chandra Sarker,Saroj Kumar Sahani
Ronobir Chandra Sarker
In this article, a spatial epidemic model with media coverage is studied. By both mathematical analysis and numerical simulation, we found that there are some typical dynamics of population density such as the formation of the hole, stripe,...
Optimal Control Studies on Age Structured Modeling of COVID-19 in Presence of Saturated Medical Treatment of Holling Type III [0.03%]
考虑饱和医疗治疗的新冠肺炎年龄结构模型的最优控制研究
Bishal Chhetri,D K K Vamsi,Carani B Sanjeevi
Bishal Chhetri
COVID-19 pandemic has caused the most severe health problems to adults over 60 years of age, with particularly fatal consequences for those over 80. In this case, age-structured mathematical modeling could be useful to determine the spread ...
Threshold Dynamics of an [Formula: see text] Epidemic Model with Nonlinear Incidence Rates [0.03%]
具有非线性发生率的[公式见原文]传染病模型的阈值动力学
Mouhcine Naim,Fouad Lahmidi,Abdelwahed Namir
Mouhcine Naim
In this paper, we consider an SEIS epidemic model with infectious force in latent and infected period, which incorporates by nonlinear incidence rates. The local stability of the equilibria is discussed. By means of Lyapunov functionals and...
The Liouville Formula for the Uncertain Homogeneous Linear System and Explicit Solutions of the System [0.03%]
不确定齐次线性系统的Liouville公式及系统显式解
Vahid Roomi,Hamid Reza Ahmadi
Vahid Roomi
This paper presents some new definitions and results about a system of uncertain homogeneous linear differential equations. Introducing the uncertain fundamental system and uncertain fundamental matrix for the uncertain system, the Liouvill...
Kristen Abernathy,Zachary Abernathy,Arden Baxter et al.
Kristen Abernathy et al.
In this paper, we present a system of five ordinary differential equations which consider population dynamics among cancer stem cells, tumor cells, and healthy cells. Additionally, we consider the effects of excess estrogen and the body's n...
Mathematical Analysis of a Model for Assessing the Impact of Antiretroviral Therapy, Voluntary Testing and Condom Use in Curtailing the Spread of HIV [0.03%]
抗逆转录病毒治疗、自愿检测和使用安全套模型的数学分析评估了该模型在遏制HIV传播方面的影响
C N Podder,O Sharomi,A B Gumel et al.
C N Podder et al.
This paper presents a deterministic model for evaluating the impact of anti-retroviral drugs (ARVs), voluntary testing (using standard antibody-based and a DNA-based testing methods) and condom use on the transmission dynamics of HIV in a c...