Michał Lipiński,Konstantin Mischaikow,Marian Mrozek
Michał Lipiński
Motivated by the study of recurrent orbits and dynamics within a Morse set of a Morse decomposition we introduce the concept of Morse predecomposition of an isolated invariant set within the setting of both combinatorial and classical dynam...
Influence of Human Behavior on COVID-19 Dynamics Based on a Reaction-Diffusion Model [0.03%]
基于反应扩散模型的人类行为对新冠肺炎疫情的影响研究
Shun Zhi,Hong-Tao Niu,You-Hui Su et al.
Shun Zhi et al.
To investigate the influence of human behavior on the spread of COVID-19, we propose a reaction-diffusion model that incorporates contact rate functions related to human behavior. The basic reproduction number R0 is derived and a threshold-...
Global Stability for an Endogenous-Reactivated Tuberculosis Model with Beddington-DeAngelis Incidence, Distributed Delay and Relapse [0.03%]
具有Beddington-DeAngelis作用率、分布式时滞及复发的内源再激活结核病模型的整体稳定性
Yuan Sang,Long Zhang,Bing Song et al.
Yuan Sang et al.
A tuberculosis (TB) epidemic model with Beddington-DeAngelis incidence and distributed delay is proposed to characterize the interaction between latent period, endogenous reactivation, treatment of latent TB infection, as well as relapse. T...
Analysis of Stochastic SIRC Model with Cross Immunity Based on Ornstein-Uhlenbeck Process [0.03%]
基于Ornstein-Uhlenbeck过程的随机SIRC模型及其交叉免疫分析
Zhiming Ni,Daqing Jiang,Zhongwei Cao et al.
Zhiming Ni et al.
In this paper, we analyze a stochastic SIRC model with Ornstein-Uhlenbeck process. Firstly, we give the existence and uniqueness of global solution of stochastic SIRC model and prove it. In addition, the existence of ergodic stationary dist...
Thermodynamic Formalism for General Iterated Function Systems with Measures [0.03%]
广义迭代函数系统上的热力学形式主义
Jader E Brasil,Elismar R Oliveira,Rafael Rigão Souza
Jader E Brasil
This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations ...
Viral Infection Model with Diffusion and Distributed Delay: Finite-Dimensional Global Attractor [0.03%]
具有扩散和分布时滞的病毒感染模型：有限维全局吸引子
Alexander Rezounenko
Alexander Rezounenko
We study a virus dynamics model with reaction-diffusion, logistic growth terms and a general non-linear infection rate functional response. The model has a distributed delay, including the case of state-selective delay. We construct a dynam...
Nonlinear Dynamical Analysis and Optimal Control Strategies for a New Rumor Spreading Model with Comprehensive Interventions [0.03%]
新的综合干预谣言传播模型的非线性动力学分析与最优控制策略
Tingting Li,Youming Guo
Tingting Li
In the current era, information dissemination is more convenient, the harm of rumors is more serious than ever. At the beginning of 2020, COVID-19 is a biochemical weapon made by a laboratory, which has caused a very bad impact on the world...
The Center Problem for the Lotka Reactions with Generalized Mass-Action Kinetics [0.03%]
具有广义质量作用动力学的洛特卡反应的中心问题
Balázs Boros,Josef Hofbauer,Stefan Müller et al.
Balázs Boros et al.
Chemical reaction networks with generalized mass-action kinetics lead to power-law dynamical systems. As a simple example, we consider the Lotka reactions and the resulting planar ODE. We characterize the parameters (positive coefficients a...