Results 41 to 50 of about 715 (147)
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
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
Dominant Vertices in Regulatory Networks Dynamics
, 2007 Discrete-time regulatory networks are dynamical systems on directed graphs, with a structure inspired on natural systems of interacting units. There is a natural notion of determination amongst vertices, which we use to classify the nodes of the network,
Agaev +22 more
core +3 more sources
Non-algebraic oscillations for predator-prey models [PDF]
, 2014 We prove that the limit cycle oscillations of the celebrated Rosenzweig-MacArthur differential system and other predator-prey models are non ...
Ferragut, Antoni +1 more
core +1 more source
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.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
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
Computational and Mathematical BiophysicsThis 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
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
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
Average sex ratio and population maintenance cost
, 2015 The ratio of males to females in a population is a meaningful characteristic of sexual species. The reason for this biological property to be available to the observers of nature seems to be a question never asked.
Eduardo Garibaldi +2 more
core +1 more source