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Equilibria (equilibrium states) problem statement for city transport systems
Published 2023-03-01“…At the same time, the study identifies various structural levels of description that can be used to solve particular problems, for example, finding equilibrium in individual subsets of the transport system, such as groups of centers of mass gravity of a certain type, or traffic flows on routes, stretches, network sections, etc.Discussion and conclusions. …”
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Equilibrium Strategy and Application of Pareto Cooperative Game With Linear Quadratic Positive System
Published 2025-01-01“…In view of the deterministic linear feedback strategy of the gamer strategy and the situation of only two players and multiple players, the equilibrium problem of the Pareto cooperative game in the corresponding situation is studied. …”
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A Two-Phase and Bi-Level Spatial Configuration Methodology of Shelters Based on a Circular Assignment Model and Evacuation Traffic Flow Allocation
Published 2024-12-01“…The evacuation assignment rule is proposed based on the gravity model, which distributes evacuees proportionally to nearby shelters. This study uses the deterministic user equilibrium problem to present the evacuation traffic flow allocation, which improves the scientificity of the location model of shelters. …”
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Deterministic compartmental model for optimal control strategies of Giardiasis infection with saturating incidence and environmental dynamics
Published 2025-06-01“…Local stability of the disease-free equilibrium was confirmed using the Routh–Hurwitz criteria, while global stability results were also presented. …”
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Digital model of a pseudo-random number generator based on a continuous chaotic system
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Modelling flow and pressure controlled pump stations with application to optimal pump scheduling
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Multi-Objective Scheduling for Green Flexible Assembly Job-Shop System via Multi-Agent Deep Reinforcement Learning With Game Theory
Published 2025-01-01“…For multi-objective optimization into a reward strategy problem, a game model combining Nash equilibrium and Pareto optimality is established to obtain an objective unification solution. …”
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Mathematical Model and Analysis on the Impacts of Vaccination and Treatment in the Control of the COVID-19 Pandemic with Optimal Control
Published 2023-01-01“…The model exhibits two equilibrium points: disease-free and endemic equilibrium points under certain conditions. …”
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A Coinfection Model of Leptospirosis and Melioidosis With Optimal Control
Published 2025-01-01“…Pontryagin’s maximum principle was used to derive the optimality system for the optimal control problem. …”
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Parameter Estimation and Sensitivity Analysis of Dysentery Diarrhea Epidemic Model
Published 2019-01-01“…In this paper, dysentery diarrhea deterministic compartmental model is proposed. The local and global stability of the disease-free equilibrium is obtained using the stability theory of differential equations. …”
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Mathematical Analysis of Drug and Substance Abuse Model With Treatment and Policing
Published 2025-01-01“…The local stability of DSA endemic equilibrium (DSAEE) is explored by employing the centre manifold technique. …”
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Sensitivity and bifurcation analysis of corruption dynamics model with control measures
Published 2024-12-01“…Despite many countries using various techniques to control corruption transmission, the problem is still present. …”
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Robust Expansion Planning of Distribution Network in Presence of Electric Vehicles to Improve Economic Parameters and Reduce Energy Consumption
Published 2025-05-01“…The YALMIP toolbox in MATLAB software was utilized to model and solve the objective function of this problem, which is expressed in both deterministic and nondeterministic versions. …”
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A Shortest-Path Lyapunov Approach for Forward Decision Processes
Published 2009-01-01“…In previous work, attention was restricted to tracking the net using a backward method that knows the target point beforehand (Bellmans's equation), this work tracks the state-space in a forward direction, and a natural form of termination is ensured by an equilibrium point 𝑝∗(𝑀(𝑝∗)=𝑆<∞and𝑝∗•=∅). …”
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Optimal control analysis of Taenia saginata bovine cysticercosis and human taeniasis
Published 2022“…The analysis shows that both the disease free equilibrium (DFE) and endemic equilibrium (EE) exist. …”
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