Results 71 to 80 of about 4,438 (207)

Stability and Bifurcation in a Predator–Prey Model with the Additive Allee Effect and the Fear Effect

Mathematics, 2020
We proposed and analyzed a predator–prey model with both the additive Allee effect and the fear effect in the prey. Firstly, we studied the existence and local stability of equilibria.
Liyun Lai, Zhenliang Zhu, Fengde Chen
doaj   +1 more source

Analysis of density matrix embedding theory around the non‐interacting limit

Communications on Pure and Applied Mathematics, Volume 78, Issue 8, Page 1359-1410, August 2025.
Abstract This article provides the first mathematical analysis of the Density Matrix Embedding Theory (DMET) method. We prove that, under certain assumptions, (i) the exact ground‐state density matrix is a fixed‐point of the DMET map for non‐interacting systems, (ii) there exists a unique physical solution in the weakly‐interacting regime, and (iii ...
Eric Cancès, Fabian M. Faulstich, Alfred Kirsch, Eloïse Letournel, Antoine Levitt   +4 more
wiley   +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

Stabilization of localized structures by inhomogeneous injection in Kerr resonators

, 2019
We consider the formation of temporal localized structures or Kerr comb generation in a microresonator with inhomogeneities. We show that the introduction of even a small inhomogeneity in the injected beam widens the stability region of localized ...
Frohoff-Hülsmann, Tobias, Gurevich, Svetlana V., Panajotov, Krassimir, Tabbert, Felix, Tlidi, Mustapha   +4 more
core   +1 more source

Nonlocal Cooperative Behavior, Psychological Effects, and Collective Decision‐Making: An Exemplification With Predator–Prey Models

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12011-12037, August 2025.
ABSTRACT In bio‐social models, cooperative behavior has evolved as an adaptive strategy, playing multi‐functional roles. One of such roles in populations is to increase the success of the survival and reproduction of individuals and their families or social groups.
Sangeeta Saha, Swadesh Pal, Roderick Melnik   +2 more
wiley   +1 more source

THE ROLE OF COST OF LOAN IN BANKING LOAN DYNAMICS: BIFURCATION AND CHAOS ANALYSIS

Barekeng, 2022
The gradient adjustment process is used to create a dynamic model of banking loan. The sign of the loan’s marginal profit determines how much money will be loaned in the future.
Moch. Fandi Ansori, Siti Khabibah
doaj   +1 more source

Individuals Strategies and Predator–Prey Game Models in Deterministic and Random Settings

Mathematical Methods in the Applied Sciences, Volume 48, Issue 12, Page 12587-12607, August 2025.
ABSTRACT The authors propose a new predator–prey game model by integrating two optional strategies into prey species: cooperative and isolation strategies. An investigation of the evolutionary impact on predator–prey system dynamics is given. The model utilizes a replicator equation to track changes in the frequency of cooperative strategy among preys,
Hairui Yuan, Xinzhu Meng, Federico Frascoli, Tonghua Zhang   +3 more
wiley   +1 more source

Dynamic optimization of fishing tax and tourism fees for sustainable bioeconomic resource management

Mathematical Biosciences and Engineering
Balancing economic prosperity with environmental conservation is crucial in managing renewable bioeconomic resources. We explored a predator-prey fishery model that incorporates tourism, dynamic harvesting, and pricing strategies.
Santanu Bhattacharya, Nandadulal Bairagi
doaj   +1 more source

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., Janssens, Sebastiaan G., Kuznetsov, Yuri A.   +2 more
core   +3 more sources

Disease Transmission on Random Graphs Using Edge‐Based Percolation

Mathematical Methods in the Applied Sciences, Volume 48, Issue 11, Page 11265-11290, 30 July 2025.
ABSTRACT Edge‐based percolation methods can be used to analyze disease transmission on complex social networks. This allows us to include complex social heterogeneity in our models while maintaining tractability. Here, we begin by reviewing the seminal works on this field in previous studies by Newman et al. (2002, 2003) and Miller et al. (2012).
Sicheng Zhao, Felicia Maria G. Magpantay
wiley   +1 more source