Results 91 to 100 of about 4,438 (207)
Invariant Manifolds in a Class‐Structured Model From Adaptive Dynamics
Studies in Applied Mathematics, Volume 154, Issue 1, January 2025.ABSTRACT We consider a family of structured population models from adaptive dynamics in which cells transition through a number of growth states, or classes, before division. We prove the existence and global asymptotic stability of invariant (‘resident') manifolds in that family; furthermore, we re‐derive conditions under which scarce mutants can ...
Nikola Popović
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, 2015 Linear augmentation has recently been shown to be effective in targeting desired stationary solutions, suppressing bistablity, in regulating the dynamics of drive response systems and in controlling the dynamics of hidden attractors.
Karnatak, Rajat
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Dynamic transcritical bifurcations in a class of slow–fast predator–prey models
Journal of Differential Equations, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Boudjellaba, Hafida, Sari, Tewfik
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Complexity, Volume 2025, Issue 1, 2025.This paper proposes a deterministic nonlinear epidemic model, SEQAIHRS, incorporating media coverage for the analysis of infectious disease transmission dynamics, considering quarantine and isolation control strategies in a community with pre‐existing immunity, and taking into account both asymptomatic and symptomatic infections. The model examines two
Mohammad Idrees +6 more
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Dynamical Behavior of a Modified Leslie–Gower One Prey–Two Predators with Competition
Mathematics, 2020 We study the dynamics of a modified Leslie–Gower one prey–two predators model with competition between predator populations. The model describes complex dynamics in the permanence, global stability and bifurcation.
Dian Savitri +3 more
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From continuous to discontinuous transitions in social diffusion
, 2018 Models of social diffusion reflect processes of how new products, ideas or behaviors are adopted in a population. These models typically lead to a continuous or a discontinuous phase transition of the number of adopters as a function of a control ...
Eguíluz, Víctor M. +2 more
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Stability and transcritical bifurcation of a discrete predator-prey model with predator cannibalism
JDMTXianyi Li
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Complexity, Volume 2025, Issue 1, 2025.In this article, we propose an aquaculture model with impulsive harvesting predator and density‐dependent nonlinear releasing prey. By taking advantage of the stroboscopic map and Cardano’s formula, the predator‐extinction periodic solution is derived for three different cases.
Zeli Zhou +3 more
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Morphology transition at depinning in a solvable model of interface growth in a random medium
, 2013 We propose a simple, exactly solvable, model of interface growth in a random medium that is a variant of the zero-temperature random-field Ising model on the Cayley tree.
Ohta, Hiroki +2 more
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Complex Dynamics and Chaos Control of Discrete Prey–Predator Model With Caputo Fractional Derivative
Complexity, Volume 2025, Issue 1, 2025.This work examines a discrete prey–predator model using the fractional derivative. The conditions for the existence and stability of the fixed points in the model are identified. The analysis is centered on exploring various bifurcations at the positive fixed point to understand their ecological implications.
Rowshon Ara +2 more
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