Results 51 to 60 of about 90,042 (199)

Bifurcations of global reinjection orbits near a saddle-node Hopf bifurcation [PDF]

, 2006
The saddle-node Hopf bifurcation (SNH) is a generic codimension-two bifurcation of equilibria of vector fields in dimension at least three. It has been identified as an organizing centre in numerous vector field models arising in applications.
Oldeman, BE, Krauskopf, B., Oldeman, B.E., Krauskopf, B   +3 more
core   +1 more source

Research on Stability and Bifurcation for Two-Dimensional Two-Parameter Squared Discrete Dynamical Systems

Mathematics
This study investigates a class of two-dimensional, two-parameter squared discrete dynamical systems. It determines the conditions for local stability at the fixed points for these proposed systems.
Limei Liu, Xitong Zhong
doaj   +1 more source

The Role of Inducible Defence in Ecological Models: Effects of Nonlocal Intraspecific Competition

Studies in Applied Mathematics, Volume 156, Issue 6, June 2026.
ABSTRACT Phenotypic plasticity significantly influences species interactions, especially via inducible defensive mechanisms in predator–prey dynamics. This work proposes and explores a predator–prey scenario whereby the prey species demonstrates inducible defence mechanisms against predators.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

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, Agus Suryanto, Wuryansari Muharini Kusumawinahyu, Abadi   +3 more
doaj   +1 more source

Analysis of a Mathematical Model of Marital Satisfaction

Mathematical Methods in the Applied Sciences, Volume 49, Issue 7, Page 6143-6157, 15 May 2026.
ABSTRACT A large number of marriages end in divorce. In this paper, we present a model for the emotional state of a couple based on bilinear ordinary differential equations. We study the effect of changes of each individual's self‐emotional state on the couple's state.
Benito Chen‐Charpentier, C. E. Garza‐Hume, M. C. Jorge   +2 more
wiley   +1 more source

Bioenergetic trophic trade‐offs determine mass‐dependent extinction thresholds across the Cenozoic

Ecology, Volume 107, Issue 5, May 2026.
Abstract Body size constrains trophic interactions, shaping the feasibility of species' populations. Over macroevolutionary timescales, these constraints feed back to shape selection on body size and diet. We develop a bioenergetic, three‐level trophic framework—typical of terrestrial mammalian ecosystems—to explore how bioenergetic trade‐offs emerging
Justin D. Yeakel, Matthew C. Hutchinson, Christopher P. Kempes, Paul L. Koch, Pedro D. S. Ugarte, Jacquelyn L. Gill, Mathias M. Pires   +6 more
wiley   +1 more source

Control based bifurcation analysis for experiments [PDF]

, 2008
We introduce a method for tracking nonlinear oscillations and their bifurcations in nonlinear dynamical systems. Our method does not require a mathematical model of the dynamical system nor the ability to set its initial conditions.
Krauskopf, B., Sieber, J.
core   +2 more sources

Bifurcations and Structures of the Parameter Space of a Discrete-Time SIS Epidemic Model

Journal of Mathematics, 2022
The dynamics of a discrete-time SIS epidemic model are reported in this paper. Three types of codimension one bifurcation, namely, transcritical, flip, Neimark–Sacker (N-S) bifurcations, and their intersection codimension two bifurcations including 1 : 2,
Yun Liu, Xijuan Liu
doaj   +1 more source

Mathematical Modeling of Forest Biomass Dynamics: A Focus on Seedling Contribution in Case of Wonsho Woreda (Kileye and Gishere), Sidama Regional State, Ethiopia

Natural Resource Modeling, Volume 39, Issue 1, February 2026.
ABSTRACT In this study, we introduce a mathematical ecology model that describes the interactions among forest biomass, the human population, various development activities, and seedlings. The study applies modified Leslie‐Gower and Holling type II functional responses to capture these interactions.
Shegena Geshele Donka, Mohammed Yiha Dawed, Kiros Gebrearegawi Kebedow   +2 more
wiley   +1 more source

A nonautonomous transcritical bifurcation problem with an application to quasi-periodic bubbles

Discrete and Continuous Dynamical Systems, 2003
In this interesting paper, the authors study the phenomenon of stability breakdown for nonautonomous ordinary differential equations whose time dependence is determined by a strictly ergodic flow. More precisely, an approach for a nonautonomous version of the classical transcritical bifurcation is provided.
Johnson, Russell, Mantellini, Francesca
openaire   +1 more source