Dynamic Evolutionary System Research Articles

Information Theory in a Darwinian Evolution Population Dynamics Model

Since Darwin, evolutionary population dynamics has captivated scientists and has applications beyond biology, such as in game theory where economists use it to explore evolution in new ways. This approach has renewed interest in dynamic evolutionary systems. In this paper, we propose an information-theoretic method to estimate trait parameters in a Darwinian model for species with single or multiple traits. Using Fisher information, we assess estimation errors and demonstrate the method through simulations.

A Game Analysis-Based Behavioral Interaction Framework between Governments and Innovative Enterprises for Intellectual Property Regulation Policies

Although the Chinese government has issued and revised a series of policies and regulations on intellectual property, infringement still repeatedly occurs. China is in a critical period of economic transformation and upgrading, and the problem of intellectual property infringement is becoming increasingly prominent. Accordingly, in this study, an evolutionary game analysis-based behavioral interaction framework between innovative enterprises and local government regulators, based on evolutionary game theory, was constructed. The strategy choice of both sides of the game and the evolutionary stability of the system were analyzed, and the evolutionary path of each equilibrium point was verified by simulation. The results show that the proposed framework is complex; the dynamic evolutionary system has different evolutionary equilibrium states under different institutional environments. Profit is not the only factor affecting the behavior decision of enterprises; the behavior strategies of governments also have an effect, and the interaction is mutual. Under the government supervision mode, innovative enterprises gradually evolve into the non-infringement strategy under the pressure of external supervision. However, the policy cost of this mode is too high for it to be the optimal solution for regulatory policy. Under the mode of no government supervision, the innovation incentive policy gives enterprises the internal motivation to innovate, results in a relative reduction in the infringement income, and blocks the inducement of infringement. This can effectively control enterprise infringement to realize the sustainable development of enterprises and ultimately achieve the desired objectives of government regulatory policy.

Changing our view of the Schistosoma granuloma to an ecological standpoint.

Schistosomiasis, a neglected parasitic tropical disease that has plagued humans for centuries, remains a major public health burden. A primary challenge to understanding schistosomiasis is deciphering the most remarkable pathological feature of this disease, the granuloma - a highly dynamic and self-organized structure formed by both host and parasite components. Granulomas are considered a remarkable example of how parasites evolved with their hosts to establish complex and intimate associations. However, much remains unclear regarding life within the granuloma, and strategies to restrain its development are still lacking. Here we explore current information on the hepatic Schistosoma mansoni granuloma in the light of Ecology and propose that this intricate structure acts as a real ecosystem. The schistosomal granuloma is formed by cells (biotic component), protein scaffolds, fibres, and chemical compounds (abiotic components) with inputs/outputs of energy and matter, as complex as in classical ecosystems. We review the distinct cell populations ('species') within the granuloma and examine how they integrate with each other and interact with their microenvironment to form a multifaceted cell community in different space-time frames. The colonization of the hepatic tissue to form granulomas is explained from the point of view of an ecological succession whereby a community is able to modify its physical environment, creating conditions and resources for ecosystem construction. Remarkably, the granuloma represents a dynamic evolutionary system that undergoes progressive changes in the 'species' that compose its community over time. In line with ecological concepts, we examine the granuloma not only as a place where a community of cells is settled (spatial niche or habitat) but also as a site in which the functional activities of these combined populations occur in an orchestrated way in response to microenvironmental gradients such as cytokines and egg antigens. Finally, we assert how the levels of organization of cellular components in a granuloma as conventionally defined by Cell Biology can fit perfectly into a hierarchical structure of biological systems as defined by Ecology. By rethinking the granuloma as an integrating and evolving ecosystem, we draw attention to the inner workings of this structure that are central to the understanding of schistosomiasis and could guide its future treatment.

5D Nonlinear Dynamic Evolutionary System in Real Estate Market

In this paper, we propose a new predator-prey nonlinear dynamic evolutionary model of real estate enterprises considering the large, medium, and small real estate enterprises for three different prey teams. A 5D predator-prey nonlinear dynamic evolutionary system in the real estate market is established, where the large, medium, and small real estate enterprises correspond to three differential equations, provincial and local officials, and the central government correspond to the other two differential equations. Nonlinear dynamic analysis on a 5D predator-prey evolutionary system in the real estate market, containing the analysis of equilibrium points and stabilities, is made. The corresponding discrete system is simulated, and the simulation results about Lyapunov spectrum, bifurcation diagram, sequence diagram, and phase diagram are given. Compared with the work of Yang et al. in which all real estate enterprises corresponded to one differential equation, in our proposed model, the large, medium, and small real estate enterprises correspond to three differential equations which is more accordant with the specific circumstance of real estate companies.

Gene-mating dynamic evolution theory: fundamental assumptions, exactly solvable models and analytic solutions

Fundamental properties of macroscopic gene-mating dynamic evolutionary systems are investigated. A model is studied to describe a large class of systems within population genetics. We focus on a single locus, any number of alleles in a two-gender dioecious population. Our governing equations are time-dependent continuous differential equations labeled by a set of parameters, where each parameter stands for a population percentage carrying certain common genotypes. The full parameter space consists of all allowed parameters of these genotype frequencies. Our equations are uniquely derived from four fundamental assumptions within any population: (1) a closed system; (2) average-and-random mating process (mean-field behavior); (3) Mendelian inheritance; and (4) exponential growth and exponential death. Even though our equations are nonlinear with time-evolutionary dynamics, we have obtained an exact analytic time-dependent solution and an exactly solvable model. Our findings are summarized from phenomenological and mathematical viewpoints. From the phenomenological viewpoint, any initial parameter of genotype frequencies of a closed system will eventually approach a stable fixed point. Under time evolution, we show (1) the monotonic behavior of genotype frequencies, (2) any genotype or allele that appears in the population will never become extinct, (3) the Hardy-Weinberg law and (4) the global stability without chaos in the parameter space. To demonstrate the experimental evidence for our theory, as an example, we show a mapping from the data of blood type genotype frequencies of world ethnic groups to our stable fixed-point solutions. From the mathematical viewpoint, our highly symmetric governing equations result in continuous global stable equilibrium solutions: these solutions altogether consist of a continuous curved manifold as a subspace of the whole parameter space of genotype frequencies. This fixed-point manifold is a global stable attractor known as the Hardy-Weinberg manifold, attracting any initial point in any Euclidean fiber bounded within the genotype frequency space to the fixed point where this fiber is attached. The stable base manifold and its attached fibers form a fiber bundle, which fills in the whole genotype frequency space completely. We can define the genetic distance of two populations as their geodesic distance on the equilibrium manifold. In addition, the modification of our theory under the process of natural selection and mutation is addressed.

Using spatial games to model dynamic evolutionary systems

ABSTRACTModelling the dynamics of evolutionary competing species on a physical grid is a challenging modelling problem. This paper presents a novel modelling approach for synthesizing evolutionary dynamics of competing species using a spatial game perspective. This modelling approach describes the movement of players (‘species’ in our context) across a lattice. The model is based on a payoff function which controls the move likelihood and direction of the players (‘predators’ and ‘preys’). Using simulated results, the paper provides a comparison between the spatial game model and an existing predator-prey dynamic model. Finally, a case study is performed to illustrate the application of this formalism and validate the model.

Evolution-Peak based Evolutionary Control and Analysis on Carbon Emission System of the United States

Abstract Based on the status quo of carbon emissions in USA and the international crude oil price fluctuations, this paper introduces control index and critical time of carbon emissions to find a new dynamic evolutionary model of carbon emissions of the States, deducing relative theories, such as Change Trends Theorem and Evolutionary Theorem. The critical time in the economic period is determined based on the evolutionary situation of the international crude oil price peaks, and it can be divided into four time intervals. Least-square method is used to analyze the dynamic evolutionary system of carbon emissions in the four time intervals with data provided by the international energy agency (IEA). Based on the nonlinear dynamic evolutionary model, the paper predicts carbon emissions by means of control index and control function, which facilitates carbon policy regulation and the system's external influence, and creates unique dynamic evolutionary factors of carbon emissions corresponding with the real situation of the United States. The financial crisis and shale gas large-scale mining have significantly changed America's energy supply structure. With the economy running upward, carbon emissions have a tendency to increase again. To achieve the goal of its reduction, different policies should be adopted by the US government. In this essay, the influence of the control index and the effect of critical time of carbon emissions to control function are analyzed. In addition, the dynamic evolutionary model is introduced and evolutionary scenario analysis is also conducted by modulating evolutionary coefficient and critical time.

Theoretical exploration of carbon emissions dynamic evolutionary system and evolutionary scenario analysis

Based on the status quo of carbon emissions in China, this paper introduces dynamic evolutionary factors, advance rate, critical time and evolutionary coefficients of carbon emissions, deducing relative theories, such as Change Trends Theorem and Evolutionary Theorem. Least-square method is used to establish the dynamic evolutionary system of carbon emissions. The system predicts carbon emissions by means of nonlinear predictive function and control function, which facilitates carbon policy regulation and the system’s external influence. In addition, this paper studies dynamic evolutionary rules of dynamic evolutionary factors and advance rate of carbon emissions from the angle of dynamic system. Furthermore, the dynamic evolutionary model is introduced and evolutionary scenario analysis is also conducted by modulating evolutionary coefficient and critical time. Four different scenarios of carbon emissions are set quantitatively for evolutionary analysis of China’s carbon emissions. Based on the above observations, carbon emissions of China in 2020, 2030, 2050 under four evolutionary scenarios are predicted. It is proved that the evolutionary scenario analysis in this research is more scientific with good logic.

Rigidity and fragility of large sociotechnical systems: Advanced information technology, the dominant coalition, and paradigm shift at the end of the 20th century

This article deals with the frontiers of sociotechnical systems theory and practice. It questions a number of customary assumptions and “givens.” Dynamic evolutionary systems theory is briefly reviewed. Some problems with traditional approaches are identified. The dominant coalition, pressured to change, is discussed as is the meaning of flexibility in technology-intensive organizations. Limitations to person/computer systems are then considered. Several emerging trends and patterns in technological impact are identified: large-scale uniformity; the fragility of networks; enhancement of the familiar; the Latinization of the U.S.; misunderstanding of time, speed, and numbers; and “allometric” growth in management and support. A number of trends are also identified regarding the design of work systems: “good” jobs and work systems, work teams, and employment and unemployment. The article concludes with a discussion of macrosystemic evolution in the form of national decline and Kondratiev structural change. Some brief recommendations are made for capturing the participation of top management in changing the dominant coalition itself. This research involves the group, organization, society, and supranational system levels of living systems theory.