A5006949345- Fractional Differential Equations Solutions
- Numerical methods for differential equations
- Differential Equations and Numerical Methods
- Mathematical and Theoretical Epidemiology and Ecology Models
- Differential Equations and Boundary Problems
- Nonlinear Differential Equations Analysis
- COVID-19 epidemiological studies
- Matrix Theory and Algorithms
- Evolution and Genetic Dynamics
- Numerical methods in inverse problems
- Viral gastroenteritis research and epidemiology
- Iterative Methods for Nonlinear Equations
- Immune Cell Function and Interaction
- Mathematical Biology Tumor Growth
- Stability and Controllability of Differential Equations
- T-cell and B-cell Immunology
- graph theory and CDMA systems
- Vibration and Dynamic Analysis
- Advanced Mathematical Physics Problems
- Infant Nutrition and Health
- Evolutionary Game Theory and Cooperation
- HIV Research and Treatment
- Advanced Control Systems Optimization
- Fault Detection and Control Systems
- Electromagnetic Simulation and Numerical Methods
Istituto per le Applicazioni del Calcolo Mauro Picone
2015-2024
National Research Council
2015-2024
University of Naples Federico II
2023
Istituto Nazionale di Alta Matematica Francesco Severi
2020-2023
IAC (United States)
2010-2014
Federico II University Hospital
2008-2013
National Academies of Sciences, Engineering, and Medicine
2013
Istituto di Matematica Applicata e Tecnologie Informatiche
1989-2001
Abstract To study naive and memory CD8 T cell turnover, we performed BrdU incorporation experiments in adult thymectomized C57BL/6 mice analyzed data a mathematical framework. The following aspects were novel: 1) examined the bone marrow, addition to spleen lymph nodes, took into account sum of cells contained three organs; 2) describe both BrdU-labeling -delabeling phase, designed general model, which populations distinguished based on number divisions; 3) find parameters, used...
In this paper, by applying a variation of the backward Euler method, we propose discrete-time SIR epidemic model whose discretization scheme preserves global asymptotic stability equilibria for class corresponding continuous-time models. Using analogue Lyapunov functionals, is fully determined basic reproduction number , when infection incidence rate has suitable monotone property.
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We present a set of difference equations which generalizes that proposed in the work G. Izzo and A. Vecchio (2007) represents discrete counterpart larger class continuous model concerning dynamics an infection organism or host population. The limiting behavior this new is studied threshold parameter playing role basic reproduction number derived.
In this paper we propose and study a hybrid discrete in continuous mathematical model of collective motion under alignment chemotaxis effect. Starting from the by Di Costanzo et al (2015a), which Cucker-Smale (Cucker Smale, 2007) was coupled with other cell mechanisms, to describe migration self-organization zebrafish lateral line primordium, introduce simplified coupling between an mechanism acts on system interacting particles. particular rely description agents are entities, while...
The expression of a bound the uniform norm infinite lower triangular Toeplitz matrices with nonnegative entries is found. All results are obtained by studying behavior resolvent kernel and fundamental matrix recurrence relation, which generates sequence considered matrix.
We propose an integral model describing epidemic of infectious disease. The is behavioural in the sense that constitutive law for force infection includes a distributed delay, called "information index", describes opinion-driven human changes. information index, turn, contains memory kernel to mimic how individuals maintain past values infection. obtain sufficient conditions endemic equilibrium be locally stable. In particular, we show when infectivity function represented by exponential...
We show that the condition is not necessary, though sufficient, for asymptotic stability of . prove existence a class Volterra difference equations (VDEs) violate this but whose zero solutions are asymptotically stable.
<p style='text-indent:20px;'>We propose a numerical method for approximating integro-differential equations arising in age-of-infection epidemic models. The is based on non-standard finite differences approximation of the integral term appearing equation. study convergence properties and analysis qualitative behavior solution show that it preserves all basic continuous model with no restrictive conditions step-length <inline-formula><tex-math id="M1">\begin{document}$ h...
Stability conditions for Volterra equations with discrete time are obtained using direct Liapunov method, without usual assumption of the summability series coeffcients. Using such conditions, stability some numerical methods second kind integral equation is analyzed.