A Refined Well-Posedness Result for the Modified KdV Equation in the Fourier-Lebesgue Spaces [0.03%]
傅里叶-莱布斯格空间下修正KdV方程的精化适定性结果
Andreia Chapouto
Andreia Chapouto
We study the well-posedness of the complex-valued modified Korteweg-de Vries equation (mKdV) on the circle at low regularity. In our previous work (2021), we introduced the second renormalized mKdV equation, based on the conservation of mom...
Yijun Lou,Feng-Bin Wang
Yijun Lou
Motivated by population growth in a heterogeneous environment, this manuscript builds a reaction-diffusion model with spatially dependent parameters. In particular, a term for spatially uneven maturation durations is included in the model, ...
The Existence of Periodic Solutions for Second-Order Delay Differential Systems [0.03%]
二阶时滞微分系统的周期解的存在性
Chungen Liu,Qi Wang
Chungen Liu
In this paper, we consider a kind of second-order delay differential system. By taking some transforms, the property of delay is reflected in the boundary condition. The wonder is that the corrseponding first-order system is exactly the so-...
Forward and Pullback Dynamics of Nonautonomous Integrodifference Equations: Basic Constructions [0.03%]
非自治积分差分方程的前向和后向动力学：基本结构
Huy Huynh,Peter E Kloeden,Christian Pötzsche
Huy Huynh
In theoretical ecology, models describing the spatial dispersal and the temporal evolution of species having non-overlapping generations are often based on integrodifference equations. For various such applications the environment has an ap...
On Rigid Minimal Spaces [0.03%]
关于刚性极小空间
Jan P Boroński,Jernej Činč,Magdalena Foryś-Krawiec
Jan P Boroński
A compact space X is said to be minimal if there exists a map f : X → X such that the forward orbit of any point is dense in X. We consider rigid minimal spaces, motivated by recent results of Downarowicz, Snoha and Tywoniuk (J Dyn D...
Effect of Quarantine Strategies in a Compartmental Model with Asymptomatic Groups [0.03%]
分隔无症状感染人群的传染病模型中的隔离策略效果研究
Zuzana Chladná,Jana Kopfová,Dmitry Rachinskii et al.
Zuzana Chladná et al.
We present an epidemiological model, which extend the classical SEIR model by accounting for the presence of asymptomatic individuals and the effect of isolation of infected individuals based on testing. Moreover, we introduce two types of ...
Global Dynamics of a Susceptible-Infectious-Recovered Epidemic Model with a Generalized Nonmonotone Incidence Rate [0.03%]
具有广义非单调发生率的易感-感染-恢复传染病模型的全局动力学行为研究
Min Lu,Jicai Huang,Shigui Ruan et al.
Min Lu et al.
A susceptible-infectious-recovered (SIRS) epidemic model with a generalized nonmonotone incidence rate kIS 1 + β I + α I 2 ( β > - 2 α such that 1 + β I + α I 2 > 0 for all I ≥ 0 ) is considered i...
Hao Kang,Shigui Ruan,Xiao Yu
Hao Kang
Random diffusive age-structured population models have been studied by many researchers. Though nonlocal diffusion processes are more applicable to many biological and physical problems compared with random diffusion processes, there are ve...
Shangbing Ai,Reem Albashaireh
Shangbing Ai
We study traveling wavefront solutions for two reaction-diffusion systems, which are derived respectively as diffusion approximations to two nonlocal spatial SIRS models. These solutions characterize the propagating progress and speed of th...
Jingan Cui,Yonghong Sun,Huaiping Zhu
Jingan Cui
We develop a three dimensional compartmental model to investigate the impact of media coverage to the spread and control of infectious diseases (such as SARS) in a given region/area. Stability analysis of the model shows that the disease-fr...