Applied Mathematics and Computation最新文献

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Catalyst strategy for the evolution of cooperation in indirect reciprocity

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-27 DOI: 10.1016/j.amc.2025.129379

Ji Quan , Yixin Feng , Jiacheng Nie , Xianjia Wang

Indirect reciprocity, as a primary mechanism for cooperation between unrelated individuals, evaluates individuals' behavior and assigns reputation labels based on social norms. Since evaluating reputation is challenging in practice, unlike previous studies, we do not introduce the reputation evaluation rule but only record two recent action information as individuals' labels, including the most recent actions of the individual and his partner. A new type of strategy set is constructed, in which each strategy is represented by a quadruplet, with each element corresponding to an action when facing a different label partner. We explore the invasion and competition of these strategies in a population when playing donor games in both noiseless and noisy scenarios. By conducting pairwise invasion simulations between all sixteen strategies, we find that in the noiseless case, cooperative strategies with evolutionary stability can identify reasonable cooperative behaviors, tolerate unreasonable cooperative behaviors, and adopt a harsh attitude toward unreasonable defection. In the noisy case, tolerant cooperative strategies that can distinguish unreasonable defection are evolutionary stable. Furthermore, by simulating multiple strategy combinations, we find a key strategy which we call the catalyst strategy that can act as a refuge for cooperators. Although the strategy is not evolutionary stable, it can help conditional cooperative strategies resist the intrusion of defection and help the system reach a fully cooperative steady state. We also verify that the system's evolutionary outcome is robust to noise intensity and that the presence of noise cannot lead to qualitative changes in the system. Action errors have a greater impact on the average cooperation rate and average payoff of the population relative to label errors. In addition, we find that the catalytic potential of the key strategy is fully realized in larger populations. Conversely, smaller population sizes diminish the efficacy of the catalyst strategy in promoting cooperation, and this detrimental effect is exacerbated in the noisy scenario.

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引用次数: 0

Nash equilibria in the Showcase Showdown game with unlimited spins

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-27 DOI: 10.1016/j.amc.2025.129368

L. Bayón , P. Fortuy Ayuso , J.M. Grau , A.M. Oller-Marcén , M.M. Ruiz

The game of Showcase Showdown with unlimited spins is investigated as an n-players continuous game, and the Nash Equilibrium strategies for the players are obtained. The sequential game with information on the results of the previous players is studied, as well as three variants: no information, possibility of draw, and different modalities of winner payoff.

引用次数: 0

Synchronization of short memory fractional coupled neural networks with higher-order interactions via novel intermittent control

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-24 DOI: 10.1016/j.amc.2025.129363

Dongsheng Yang , Hu Wang , Guojian Ren , Yongguang Yu , Xiao-Li Zhang

Due to the fact that higher-order interactions in neural networks significantly enhance the accuracy and depth of network modeling and analysis, this paper investigates the synchronization problem in such networks by employing a novel intermittent control method. Firstly, higher-order interactions in the fractional coupled neural network model are considered, extending the traditional understanding of neural network structures. Based on a designed threshold function, a flexible intermittent controller is introduced. Furthermore, sufficient conditions for achieving network synchronization are provided, ensuring the network reaches a synchronized state under the proposed control method. Alongside these conditions, synchronization criteria are presented to strictly control the synchronization error within a predetermined decay range, guaranteeing the performance meets specific accuracy requirements. Finally, the effectiveness of our innovative intermittent control strategy is demonstrated through two numerical simulations.

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引用次数: 0

Reconstruction of micro-dynamics characterizing human decision-making behavior in repeated social dilemmas

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-24 DOI: 10.1016/j.amc.2025.129367

Luhe Yang , Yongpeng Ning , Lianzhong Zhang

Exploring evolutionary updating rules more consistent with individual cognitive processes is crucial to the study of human cooperation. A considerable number of dynamic models describing human decision-making behavior lack empirical evidence. We have conducted a behavioral experiment and proposed a hypothesis that human players make decisions based on proportional change rather than absolute difference of payoffs. Thus we can reconstruct the micro-dynamics, namely individual strategy updating rules, with a singular function considering the individual's choice to cooperate and defect separately. We find the micro-dynamics evolve over time and our dynamic model can well predict the evolution of cooperation. Furthermore, combined with the conception “elasticity” commonly used in economics, we reveal the relationship between the intrinsic property of population and players’ subjective decision intentions. Our findings provide a novel framework for measuring human decision-making behavior with bounded rationality in repeated social dilemmas.

引用次数: 0

Input-to-state stabilization of nonlinear systems with impulsive disturbance via event-triggered impulsive control

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-24 DOI: 10.1016/j.amc.2025.129365

Wenjun Sun , Mingzhu Wang , Jianwei Xia , Xiaodi Li

This paper investigates the input-to-state stabilization (ISS) problem for nonlinear impulsive systems under event-triggered impulsive control (ETIC), encompassing comprehensive considerations of external continuous and impulsive disturbances. Some flexible design criteria of ETIC strategies are proposed for ISS of addressed systems based on Lyapunov theory without Zeno behavior, which can effectively overcome the negative effects caused by the double disturbances. Moreover, a relationship between event-triggered mechanism (ETM), impulsive control strength, and two kinds of external disturbances is established. Compared with the existing results on ISS of nonlinear systems based on ETIC, our proposed ETIC strategies can be applied to the practical applications involving impulsive disturbance with stronger robustness. Finally, the proposed results are further validated through the presentation of two numerical examples.

引用次数: 0

Unsteady one dimensional motions of a new class of seemingly viscoplastic materials

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129366

L. Fusi , A. Giovinetto , K.R. Rajagopal

In this note we study the unsteady rectilinear flow of a fluid whose constitutive equation mimics that of a viscoplastic material. The constitutive relation is non-linear and is such that the stress cannot exceed a certain limit (limit stress fluid). The mathematical problem consists of the mass balance and the linear momentum equations as well as the initial and boundary conditions. We assume that the flow is driven by a horizontal pressure gradient and the movement of the top plate. After rescaling the system, we determine an explicit expression for the solution to the steady-state problem and prove that this solution exists and is unique within a limited range of the model's material parameters. We solve the transient problem (start-up, variation of the Stokes' first problem) using the finite element method and validate the numerical scheme by comparing the numerical and analytical solution. We perform some numerical simulations and show the behavior of the velocity and the stress for different values of the physical parameters. We also consider the case where the top plate oscillates at a given frequency (variation of the Stokes' second problem).

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引用次数: 0

Bifurcations analysis of a 3D Filippov pest-natural enemy system with stage structure for the prey

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129356

Yuxun Zhu , Wenjie Zuo , Jinchen Ji , Zhengdi Zhang

Pest control is an important application of the Filippov system in ecology and has attracted much attention. Many studies on Filippov pest-natural enemy systems have been done by employing the widely recognized Integrated Pest Management (IPM) strategy. However, those studies primarily focused on planar Filippov models without considering the stage structure of populations. It is well-known that almost all species have a life cycle from immature to mature. Thus, in this paper, we propose a three-dimensional (3D) Filippov system that takes into account the stage structure of the pest population. The weighted sum of two-stage pest populations is set as the control index. Since the discontinuity boundary changes from line to plane, new analytical techniques are developed to investigate the complex dynamics. In particular, abundant sliding bifurcations are detected, especially an enigmatic global bifurcation. This intriguing global bifurcation mechanism may overturn traditional bifurcation analyses, indicating the necessity for further investigations into the dynamical behavior of Filippov systems. Moreover, our results make a strong case for the critical importance of the economic threshold in the IPM strategy. Pest control is found not always effective simply by acting sooner; setting the threshold value too low would cause control failure while setting it too high would invalidate the strategy itself. Detailed biological implications are discussed in the conclusion.

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引用次数: 0

On controllability of fractional-order impulsive and switching systems with time delay

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-21 DOI: 10.1016/j.amc.2025.129357

Jiayuan Yan , Bin Hu , Zhi-Hong Guan , Ding-Xue Zhang

This article targets at addressing the controllability problem of a new introduced fractional-order impulsive and switching systems with time delay (FOISSTD). Toward this end, the algebraic method is adopted to establish the relevant controllability conditions. First, we obtain the solution representation of FOISSTD over every subinterval by resorting to the successive iterations and Laplace transform. Next, by introducing the Gramian matrices over every subinterval, we establish the controllability conditions without requiring the constraint that all impulse-dependent matrices are nonsingular. Furthermore, by introducing a row matrix composed by several Gramian matrices, we further construct a controllability test that is proved to be sufficient and necessary. In the last, a calculative example with three subsystems is worked out to confirm the theoretical controllability tests.

引用次数: 0

Evolutionary games for cooperation in open data management

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-19 DOI: 10.1016/j.amc.2025.129364

Tina P. Benko , Bin Pi , Qin Li , Minyu Feng , Matjaž Perc , Helena Blažun Vošner

In the era of big data, open data has become a critical factor in production. To establish a stable and long-term open data management mechanism, we investigate the evolution of cooperative behaviors in open data management based on networked evolutionary games, where complex networks are used to model the interaction structure between open data managers and game theory is employed to illustrate the social dilemmas faced by these managers. In addition, we account for the dynamic nature of social dilemmas in the interactions between managers, recognizing that the dilemmas they encounter are not static but rather evolve over time. To model this, we use different game models to represent various social dilemmas and propose social dilemma transitions to capture the evolving dilemmas faced between open data managers. In our simulations, we explore how payoff parameters and transition rates influence the emergence and sustainability of cooperation across different population structures, finding that both factors play a significant role in the evolution of cooperation. Furthermore, the cooperative evolution dynamics is analyzed on a square lattice network with periodic boundaries from a microscopic perspective. We also study the influence of different patterns of social dilemma transition on the evolution of cooperation. The findings presented in this paper may offer valuable insights for open data managers, helping them make informed decisions, and fostering the evolution of cooperation within open data management systems.

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引用次数: 0

Convergence of mass transfer particle tracking schemes for the simulation of advection-diffusion-reaction equations

IF 3.5 2区数学 Q1 MATHEMATICS, APPLIED

Applied Mathematics and Computation

Pub Date : 2025-02-18 DOI: 10.1016/j.amc.2025.129358

Stephen Pankavich , Lucas Schauer , Michael J. Schmidt , Nicholas B. Engdahl , Diogo Bolster , David A. Benson

Since their introduction [1], [2], multi-species mass-transfer particle tracking (or MTPT) algorithms have been used to accurately simulate advective and dispersive transport of solutes, even within systems that feature nonlinear chemical reactions. The MTPT methods were originally derived from a probabilistic or first-principles perspective and have previously lacked a more rigorous derivation arising directly from the underlying advection-diffusion-reaction equation (ADRE). Herein, we provide a fully rigorous derivation of the MTPT method as a Lagrangian approximation of solutions to the ADRE, complete with a description of the error and order of accuracy generated by this approximation. Numerical simulations further detail the fidelity of MTPT methods and display parameter regimes wherein the numerical error is independent of the chosen time step, and thereby dependent only upon the numerical discretization of the spatial domain via the number of particles within a simulation. Finally, different normalizations of the local Green's function are shown to generate similar approximations of the underlying solution for stationary particles.

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引用次数: 0

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