Nonlinear growth and mathematical modelling of COVID-19 in some African countries with the Atangana-Baleanu fractional derivative [0.03%]
某些非洲国家COVID-19的非线性增长与数学建模：基于Atangana-Baleanu分数阶导数的方法
O T Kolebaje,O R Vincent,U E Vincent et al.
O T Kolebaje et al.
We analyse the time-series evolution of the cumulative number of confirmed cases of COVID-19, the novel coronavirus disease, for some African countries. We propose a mathematical model, incorporating non-pharmaceutical interventions to unra...
Roberto Barrio,Stephen Coombes,Mathieu Desroches et al.
Roberto Barrio et al.
The application of mathematics, physics and engineering to medical research is continuously growing; interactions among these disciplines have become increasingly important and have contributed to an improved understanding of clinical and b...
Modeling the impact of SARS-CoV-2 variants and vaccines on the spread of COVID-19 [0.03%]
SARS-CoV-2变异株和疫苗对新冠肺炎疫情传播的影响预测建模
A M Ramos,M Vela-Pérez,M R Ferrández et al.
A M Ramos et al.
The continuous mutation of SARS-CoV-2 opens the possibility of the appearance of new variants of the virus with important differences in its spreading characteristics, mortality rates, etc. On 14 December 2020, the United Kingdom reported a...
Network synchronization, stability and rhythmic processes in a diffusive mean-field coupled SEIR model [0.03%]
带扩散平均场耦合的SEIR模型中的网络同步性、稳定性及节律过程
Tina Verma,Arvind Kumar Gupta
Tina Verma
Connectivity and rates of movement have profound effect on the persistence and extinction of infectious diseases. The emerging disease spread rapidly, due to the movement of infectious persons to some other regions, which has been witnessed...
Large time step discrete-time modeling of sharp wave activity in hippocampal area CA3 [0.03%]
大型时间步长离散时间海马CA3区尖峰波活动模型
Paola Malerba,Nikolai F Rulkov,Maxim Bazhenov
Paola Malerba
Reduced models of neuronal spiking activity simulated with a fixed integration time are frequently used in studies of spatio-temporal dynamics of neurobiological networks. The choice of fixed time step integration provides computational sim...
A fractional-order compartmental model for the spread of the COVID-19 pandemic [0.03%]
一个分数阶隔室模型用于COVID-19大流行的传播预测
T A Biala,A Q M Khaliq
T A Biala
We propose a time-fractional compartmental model (SEI A I S HRD) comprising of the susceptible, exposed, infected (asymptomatic and symptomatic), hospitalized, recovered and dead population for the COVID-19 pandemic. We study the proper...
Stability analysis in COVID-19 within-host model with immune response [0.03%]
含免疫反应的COVID-19体内模型的稳定性分析
Alexis Erich S Almocera,Griselda Quiroz,Esteban A Hernandez-Vargas
Alexis Erich S Almocera
The 2019 coronavirus disease (COVID-19) is now a global pandemic. Severe Acute Respiratory Syndrome Coronavirus 2 (SARS-CoV-2) is the causative pathogen of COVID-19. Here, we study an in-host model that highlights the effector T cell respon...
Nonlinear self-organized population dynamics induced by external selective nonlocal processes [0.03%]
由外部选择非局部过程引起的非线性自组织种群动力学
Orestes Tumbarell Aranda,André L A Penna,Fernando A Oliveira
Orestes Tumbarell Aranda
Self-organization evolution of a population is studied considering generalized reaction-diffusion equations. We proposed a model based on non-local operators that has several of the equations traditionally used in research on population dyn...
Key aspects for effective mathematical modelling of fractional-diffusion in cardiac electrophysiology: a quantitative study [0.03%]
有效的心脏电生理分数阶扩散数学建模的关键方面：定量研究
N Cusimano,A Gizzi,F H Fenton et al.
N Cusimano et al.
Microscopic structural features of cardiac tissue play a fundamental role in determining complex spatio-temporal excitation dynamics at the macroscopic level. Recent efforts have been devoted to the development of mathematical models accoun...
On the uncertainty of real-time predictions of epidemic growths: A COVID-19 case study for China and Italy [0.03%]
关于实时流行病增长预测的不确定性：中国和意大利的COVID-19案例研究
Tommaso Alberti,Davide Faranda
Tommaso Alberti
While COVID-19 is rapidly propagating around the globe, the need for providing real-time forecasts of the epidemics pushes fits of dynamical and statistical models to available data beyond their capabilities. Here we focus on statistical pr...