Results 31 to 40 of about 715 (147)

On the dynamics of a class of multi-group models for vector-borne diseases [PDF]

, 2015
The resurgence of vector-borne diseases is an increasing public health concern, and there is a need for a better understanding of their dynamics. For a number of diseases, e.g.
Aberrahman Iggidr, Gauthier Sallet, Max, O. Souza   +3 more
core   +5 more sources

Beyond clustering: mean-field dynamics on networks with arbitrary subgraph composition [PDF]

, 2014
Clustering is the propensity of nodes that share a common neighbour to be connected. It is ubiquitous in many networks but poses many modelling challenges.
A-L Barabási, B Bollobás, B Karrer, DM Green, E Volz, EM Volz, F Ball, F Ball, F Ball, Istvan Z. Kiss, IZ Kiss, IZ Kiss, JC Miller, JC Miller, JP Gleeson, Luc Berthouze, M Molloy, Martin Ritchie, ME Newman, ME Newman, MJ Keeling, MJ Keeling, MJ Tildesley, R Milo, R Pastor-Satorras, T House, T House, T House, T House   +28 more
core   +2 more sources

Global properties of virus dynamics with B-cell impairment

Open 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., Alshehaiween Safiya F., Hobiny Aatef D.   +2 more
doaj   +1 more source

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

, 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

Mathematical Analysis of the Monkeypox Epidemic With Infective Immigrants Using Real Data From Nigeria

Abstract and Applied Analysis
MSC2020 Classification: 92D30, 37N25, 34D20, 92B05 ...
Philip N. A. Akuka, Baba Seidu, Mehmet Gümüş   +2 more
doaj   +1 more source

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

Discrete 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, Hasan Gündüz, Mesut Karabacak, Ercan Çelik, Rigoberto Medina   +4 more
wiley   +1 more source

On Kinetic Equations Modeling Evolution of Systems in Mathematical Biology

, 2013
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.
core   +1 more source

Modeling of the switching effect on two prey and one predator with the presence of Allee effects and refuge

Computational and Mathematical Biophysics
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, Elobaid Rafida M., Al-Saidi Nadia M. G., Jaber Ahamed Shawki   +3 more
doaj   +1 more source

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

Discrete 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, Mouhamadou A. M. T. Balde, Babacar M. Ndiaye, Ahmed Ezzat Matouk   +3 more
wiley   +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