Stability of solutions of kinetic equations corresponding to the replicator dynamics

Lachowicz, Mirosław; Quartarone, A.; Ryabukha, Tatiana V.

doi:10.3934/krm.2014.7.109

Cited by 4 publications

(2 citation statements)

References 19 publications

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“…Replicator dynamics equations are mathematical models used to describe the changes in strategy distribution during the evolution of a population [ 49 ]. They serve as a vital tool in evolutionary game theory [ 50 ], widely applied in studying collective behavior in social, economic, and biological systems.…”

Section: Model Analysis: Expected Payoff and Replicator Dynamics Equa...mentioning

confidence: 99%

How to build a cold chain supply chain system for fresh agricultural products through blockchain technology—A study of tripartite evolutionary game theory based on prospect theory

Bai,

Wu,

Huang

et al. 2023

PLoS ONE

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The global cold chain logistics market is witnessing a significant upswing, driven by the rising demand for perishable food products and increasing shipment volumes worldwide. Technological advancements are leading to a more intelligent and digitally enabled cold chain logistics system. However, the high loss rate of fresh agricultural products in China poses a significant threat to the country’s food security. Therefore, it is imperative to explore innovative solutions, such as blockchain, to address the challenges of traditional cold chain logistics. In this paper, inspired by the prospect theory and evolutionary game theory, we propose an evolutionary game model to analyze the behavioral strategies of the tripartite of n-level cold chain participants, consumers, and government. Using MATLAB software, the numerical simulation of the game path of this tripartite theory is conducted, and the influence of variable parameters on the evolutionary process and outcomes of the system is analyzed. The results the following: (1) The development of an effective cold chain supply chain system can be divided into three stages, and blockchain technology plays a pivotal role in creating a seamless cold chain environment. The cost of blockchain adoption, government rewards, as well as penalties can significantly influence the behavioral choices of the three stakeholders. (2) The behavior of individual cold chain participants has a strong negative externality, which can impact the behavior of others. We also find that the larger the scale of the cold chain, the lower the probability of default by the participants. (3) The government’s adoption of blockchain technology and the implementation of effective incentive policies can foster the successful development of the cold chain blockchain infrastructure. Our research contributes to the theoretical understanding of cold chain logistics decision making and policy creation for the tripartite stakeholders, including cold chain participants, consumers, and government. Our findings can serve as a valuable reference for scientific decision making and policy formulation to encourage the development of a robust cold chain supply chain system.

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Section: Model Analysis: Expected Payoff and Replicator Dynamics Equa...mentioning

confidence: 99%

How to build a cold chain supply chain system for fresh agricultural products through blockchain technology—A study of tripartite evolutionary game theory based on prospect theory

Bai,

Wu,

Huang

et al. 2023

PLoS ONE

View full text Add to dashboard Cite

show abstract

“…Similarly to that of [ 22 ], we assume a direct dependence of the rate

on the unknown function f in Equation ( 11 ). This is a Enskog-type of assumption known in kinetic theory—cf.…”

Section: Macroscopic Behavior In the Nonconservative Casementioning

confidence: 99%

Diauxic Growth at the Mesoscopic Scale

Lachowicz¹,

Dȩbowski²

2020

Entropy

Self Cite

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In the present paper, we study a diauxic growth that can be generated by a class of model at the mesoscopic scale. Although the diauxic growth can be related to the macroscopic scale, similarly to the logistic scale, one may ask whether models on mesoscopic or microscopic scales may lead to such a behavior. The present paper is the first step towards the developing of the mesoscopic models that lead to a diauxic growth at the macroscopic scale. We propose various nonlinear mesoscopic models conservative or not that lead directly to some diauxic growths.

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From Microscopic to Macroscopic Descriptions

Banasiak

Lachowicz

2014

Methods of Small Parameter in Mathematical Biology

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Stability of solutions of kinetic equations corresponding to the replicator dynamics

Cited by 4 publications

References 19 publications

How to build a cold chain supply chain system for fresh agricultural products through blockchain technology—A study of tripartite evolutionary game theory based on prospect theory

How to build a cold chain supply chain system for fresh agricultural products through blockchain technology—A study of tripartite evolutionary game theory based on prospect theory

Diauxic Growth at the Mesoscopic Scale

From Microscopic to Macroscopic Descriptions

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