Results 41 to 50 of about 653 (119)

A Fractional Order Model for HIV/AIDS With Treatment and Optimal Control Using Caputo Derivative

International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.
In this paper, we are concerned with a deterministic Caputo fractional derivative mathematical model of HIV/AIDS with treatment and optimal control. We formulate a mathematical model that contains six compartments (including primary infection and treatment) and show that the model is well‐posed. We calculate the reproduction number and free and endemic
Abdul-Aziz Hussein, Benyam Mebrate, Kareem Elgindy   +2 more
wiley   +1 more source

Analysis of a fractional-order model for acute and chronic hepatitis-B transmission with Mittag-Leffler kernels

Computational and Mathematical Biophysics
This study explores the dynamic characteristics of a fractional-order model for the hepatitis B virus (HBV) epidemic. We present the existence, uniqueness, and Ulam-Hyers stability of solutions for a fractional-order HBV model utilizing the Atangana ...
Wiah Eric Neebo, Crankson Monica Veronica, Addor John Awuah, Moore Stephen Edward   +3 more
doaj   +1 more source

Escort Evolutionary Game Theory

, 2012
A family of replicator-like dynamics, called the escort replicator equation, is constructed using information-geometric concepts and generalized information entropies and diverenges from statistical thermodynamics.
Abe, Amari, Amari, Ay, Borland, Dukkipati, Dukkipati, Endres, Frank, Furuichi, Hofbauer, Horie, Joosten, Lee, Lin, Marc Harper, Martinez, Naudts, Naudts, Naudts, Ohara, Pacheco, Pardo, Sandholm, Sandholm, Sato, Sethi, Shahshahani, Topsøe, Tsallis, Turner, Weibull, Čhentsov   +32 more
core   +1 more source

Agent Based Models and Opinion Dynamics as Markov Chains [PDF]

, 2011
This paper introduces a Markov chain approach that allows a rigorous analysis of agent based opinion dynamics as well as other related agent based models (ABM).
Axelrod, Barnes, Behrends, Brodbeck, Castellano, Castellano, Chazottes, Clifford, Cont, Conte, Corcuera, Cox, Deffuant, Epstein, Frachebourg, Garfinkel, Giddens, Giesen, Granovetter, Grauwin, Hegselmann, Helbing, Izquierdo, Kemeny, Kimura, Krapivsky, Kuran, LeBaron, Levin, Liggett, Moreno, Moreno, Nielsen, Norberg, Parsons, Pollicott, Ricardo Lima, Schelling, Schweitzer, Schweitzer, Seneta, Slanina, Sood, Sven Banisch, Tanya Araújo, Vazquez, Weber, Weidlich   +47 more
core   +2 more sources

Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies

, 2005
In previous work, empirical evidence indicated that a time-varying network could propagate sufficient information to allow synchronization of the sometimes coupled oscillators, despite an instantaneously disconnected topology.
Afra movich V., D. Gray Roberson, Daniel J. Stilwell, Erik M. Bollt, Glass Leon, Guevara M. R., Jost J., Netoff T. I., Sansone G.   +8 more
core   +2 more sources

Complex dynamics of a nonlinear discrete predator-prey system with Allee effect

Open Mathematics
The transition between strong and weak Allee effects in prey provides a simple regime shift in ecology. In this article, we study a discrete predator-prey system with Holling type II functional response and Allee effect. First, the number of fixed points
Wang Jing, Lei Ceyu
doaj   +1 more source

Global stability of an SIS epidemic model with a finite infectious period [PDF]

, 2017
Assuming a general distribution for the sojourn time in the in- fectious class, we consider an SIS type epidemic model formulated as a scalar integral equation. We prove that the endemic equilibrium of the model is globally asymptotically stable whenever
Nakata, Yukihiko, Rost, Gergely
core   +1 more source

Plankton interaction model: Effect of prey refuge and harvesting

Computational and Mathematical Biophysics
Harmful algal blooms are one of the major threats to aquatic ecosystem. Some phytoplankton species produce toxins during algal bloom and affect other aquatic species as well as human beings.
Basak Poulomi, Tiwari Satish Kumar, Tripathi Jai Prakash, Tiwari Vandana, Mishra Ratnesh Kumar   +4 more
doaj   +1 more source

A nonsmooth two-sex population model

, 2014
This paper considers a two-dimensional logistic model to study populations with two genders. The growth behavior of a population is guided by two coupled ordinary differential equations given by a non-differentiable vector field whose parameters are the ...
Garibaldi, Eduardo, Sobottka, Marcelo
core   +1 more source

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

Results in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo, Yazir Khan, Stella Mugisha   +2 more
doaj   +1 more source