Results 21 to 30 of about 699 (108)
International 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
Does a population with the highest turnover coefficient win competition?
, 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
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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 +2 more
wiley +1 more source
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. +8 more
core +2 more sources
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 +47 more
core +2 more sources
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
Information Geometry and Evolutionary Game Theory [PDF]
, 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
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
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
Group Size Effect on the Success of Wolves Hunting [PDF]
, 2015 Social foraging shows unexpected features such as the existence of a group size threshold to accomplish a successful hunt. Above this threshold, additional individuals do not increase the probability of capturing the prey.
Coppinger, Raymond +4 more
core +2 more sources