Results 51 to 60 of about 760 (151)
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 +3 more
doaj +1 more source
On variable-order hybrid FracInt Covid-19 mathematical model: optimal control approach
An optimal control problem for the variable-order fractional-integer mathematical model of vaccination Covid 19 is presented in this research, where the order of the derivatives varies during the course of the time interval, becoming fractional or ...
R. G. Salama +3 more
doaj +1 more source
Sufficient Conditions for Fast Switching Synchronization in Time Varying Network Topologies
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. +8 more
core +2 more sources
Interaction of two systems with saddle-node bifurcations on invariant circles. I. Foundations and the mutualistic case [PDF]
The saddle-node bifurcation on an invariant circle (SNIC) is one of the codimension-one routes to creation or destruction of a periodic orbit in a continuous-time dynamical system.
Baesens, Claude, MacKay, Robert S.
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In this paper, we propose a viral model with cell‐to‐cell propagation, delayed saturated CTL immunity, and general incidence rate. Two biological threshold parameters, namely, the basic reproductive number R0 and the CTL immune reproductive number R1, are derived.
Mouhcine Naim +4 more
wiley +1 more source
To examine the dynamics of a predator’s interaction with two prey species, this study develops a comprehensive mathematical model that accounts for ecological complexities, including the Allee effect, prey switching behavior, and prey refuge.
Kadhim Atheer Jawad +3 more
doaj +1 more source
A Fractional Order Model for HIV/AIDS With Treatment and Optimal Control Using Caputo Derivative
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 +2 more
wiley +1 more source
A nonsmooth two-sex population model
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
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Global stability of an SIS epidemic model with a finite infectious period [PDF]
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
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On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology
We develop a rigorous formalism for the description of the kinetic evolution of interacting entities modeling systems in mathematical biology within the framework of the evolution of marginal observables.
Fedchun, Yu. Yu., Gerasimenko, V. I.
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