Results 41 to 50 of about 760 (151)

Global properties of virus dynamics with B-cell impairment

open access: yesOpen Mathematics, 2019
In this paper we construct a class of virus dynamics models with impairment of B-cell functions. Two forms of the incidence rate have been considered, saturated and general. The well-posedness of the models is justified.
Elaiw Ahmed M.   +2 more
doaj   +1 more source

Does a population with the highest turnover coefficient win competition?

open access: yes, 2017
We consider a discrete time competition model. Populations compete for common limited resources but they have different fertilities and mortalities rates. We compare dynamical properties of this model with its continuous counterpart.
Rudnicki, Ryszard
core   +1 more source

Do Longer Delays Matter? The Effect of Prolonging Delay in CTL Activation [PDF]

open access: yes, 2010
The activation of a specific immune response takes place in the lymphoid organs such as the spleen. We present here a simplified model of the proliferation of specific immune cells in the form of a single delay equation.
Gallegos, Angela, Radunskaya, Ami
core   +2 more sources

Fractional Order Plant‐Herbivore Dynamics: From Stability to Chaos Control

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This study investigates the dynamic behavior of a discrete‐time plant‐herbivore model incorporating conformable fractional‐order derivatives and a toxin‐dependent functional response. The model is discretized using a piecewise constant argument approach, enabling the analysis of memory effects and nonlocal interactions in ecological dynamics.
Güven Kaya   +4 more
wiley   +1 more source

An Optimal Control Study for a Two‐Strain SEIR Epidemic Model With Saturated Incidence Rates and Treatment

open access: yesDiscrete Dynamics in Nature and Society, Volume 2025, Issue 1, 2025.
This work will study an optimal control problem describing the two‐strain SEIR epidemic model. The model studied is in the form of six nonlinear differential equations illustrating the dynamics of the susceptible and the exposed, the infected, and the recovered individuals.
Karam Allali   +3 more
wiley   +1 more source

Information Geometry and Evolutionary Game Theory [PDF]

open access: yes, 2009
The Shahshahani geometry of evolutionary game theory is realized as the information geometry of the simplex, deriving from the Fisher information metric of the manifold of categorical probability distributions.
Harper, Marc
core  

Escort Evolutionary Game Theory

open access: yes, 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   +32 more
core   +1 more source

Transitions in active rotator systems: invariant hyperbolic manifold approach [PDF]

open access: yes, 2011
Our main focus is on a general class of active rotators with mean field interactions, that is globally coupled large families of dynamical systems on the unit circle with non-trivial stochastic dynamics.
Giacomin, Giambattista   +3 more
core   +2 more sources

STABILITY ANALYSIS OF THE EULER DISCRETIZATION FOR THE HARVESTING LESLIE-GOWER PREDATOR-PREY MODEL

open access: yes, 2015
In this paper, a harvesting Leslie-Gower equations is discretized using the forward Euler method. The dynamical properties of the resulted discrete system is then analysed.
Prisca Danik Ernawati, I. Darti
semanticscholar   +1 more source

Mathematical Analysis of a Resource‐Based Dispersal Model With Gompertz Growth and Optimal Harvesting

open access: yesInternational Journal of Differential Equations, Volume 2025, Issue 1, 2025.
Gompertz dynamics offer significant applications for the growth of invasive species, cancer modeling, optimal harvesting policies, sustainable yield, and maintaining population levels due to its pattern formation in low‐density cases. This paper examines a widely applicable nonhomogeneous diffusive Gompertz law with zero Neumann boundary conditions ...
Md. Kamrujjaman   +6 more
wiley   +1 more source

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