Results 51 to 60 of about 2,177 (166)
Switching to nonhyperbolic cycles from codimension two bifurcations of equilibria of delay differential equations [PDF]
, 2019 In this paper we perform the parameter-dependent center manifold reduction near the generalized Hopf (Bautin), fold-Hopf, Hopf-Hopf and transcritical-Hopf bifurcations in delay differential equations (DDEs).
Bosschaert, Maikel M. +2 more
core +3 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.This paper investigates the complex dynamics of a discrete‐time predator–prey system incorporating proportionate prey harvesting. The model is derived from a continuous system using the forward Euler discretization method and extends a previously studied model by introducing a harvesting term. First, the positivity of solutions is established to ensure
Saad Jamhan Aldosari +5 more
wiley +1 more source
Dynamical analysis of discretized Logistic model with Caputo- Fabrizio fractional derivative [PDF]
Computational Ecology and Software, 2021 In this paper we consider a fractional order Logistic model with Caputo-Fabrizio fractional derivative. By applying two-step Adams-Bashforth scheme, we obtain a system of difference equations.
H. Karakaya +3 more
doaj
Fractal and Fractional, 2023 In organisms’ bodies, the activities of enzymes can be catalyzed or inhibited by some inorganic and organic compounds. The interaction between enzymes and these compounds is successfully described by mathematics.
Messaoud Berkal +1 more
doaj +1 more source
Some Applications of Bifurcation Formulae to the Period Maps of Delay Differential Equations [PDF]
, 2005 Our purpose is to present some applications of the bifurcation formulae derived in [13] for periodic delay differential equations. We prove that a sequence of Neimark-Sacker bifurcations occurs as the parameter increases.
Röst, Gergely
core
Travelling waves and their bifurcations in the Lorenz-96 model [PDF]
, 2017 In this paper we study the dynamics of the monoscale Lorenz-96 model using both analytical and numerical means. The bifurcations for positive forcing parameter $F$ are investigated.
Sterk, Alef E., van Kekem, Dirk L.
core +2 more sources
Journal of Mathematics, Volume 2026, Issue 1, 2026.In this paper, we have developed a discrete‐time predator–prey system to discuss the theoretical basis of guava‐pest management, incorporating the novel neem‐leaf treatment (k), the key bifurcation parameter, logistic prey growth, and the Holling Type‐II functional response.
Tayyaba Mehmood +4 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study investigates the complex dynamics of a predator–prey system governed by the classical Lotka–Volterra model incorporating a Holling‐type III. To capture environmental variability, the prey’s carrying capacity is modeled as a periodic function, introducing a time‐dependent forcing into the system.
Ali Sarrah +4 more
wiley +1 more source
Cooperative hunting in a discrete predator-prey system
, 2018 We propose and investigate a discrete-time predator-prey system with cooperative hunting in the predator population. The model is constructed from the classical Nicholson-Bailey host-parasitoid system with density dependent growth rate.
Chow, Yunshyong +2 more
core +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.Discretization of continuous models can do more than approximate their dynamics; it can fundamentally transform their dynamical behavior, such as the complex dynamical behavior that translates the system to a chaotic state. In this study we investigated the discrete‐time Holling–Tanner predator–prey model.
Muhammad Rafaqat +6 more
wiley +1 more source