Evolution and extinction can occur rapidly: a modeling approach

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Bioinformatics and Genomics

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Introduction

Model of Evolutionary Self-development of a Large Ecosystem

The model for the self-development of a large ecosystem

The model for the evolution of ecosystem parameters

The law of biota self-reproduction

General form of the model of evolution of a “transient” population

  • mixed (asexual/sexual) type of reproduction,

  • logistic law of reproduction W,

  • exponentially rational law H of the influence of population density on the average life span of an individual,

  • two evolving parameters C and D,

  • function of adaptability Ffitness = W,

  • influx or migration of live biota from the outside, kin.

Results

Cyclic and intermittent dynamics in the model of evolution of a “transient” population

Global extinction in the history of life as a bistability phenomenon

Discussion

Conclusion

Supplemental Information

Derivation of the evolutionary model of a transitive population

DOI: 10.7717/peerj.11130/supp-1

Mathematical model of evolutionary self-development of a transitive population

Code Model. Software “Mathematica”.

DOI: 10.7717/peerj.11130/supp-2

Additional Information and Declarations

Competing Interests

The authors declare there are no competing interests.

Author Contributions

Vitaly A. Likhoshvai conceived and designed the experiments, developed a mathematical model, performed the experiments, analyzed the data, prepared figures and/or tables and authored or reviewed draft of the paper.

Tamara M. Khlebodarova conceived and designed the experiments, analyzed the data, prepared figures and/or tables, authored or reviewed drafts of the paper, and approved the final draft.

Data Availability

The following information was supplied regarding data availability:

Mathematica code is available as Supplemental File.

Funding

This work was supported by the Program of Fundamental Studies of the Siberian Branch of the Russian Academy of Sciences (No. 0259-2021-0009). The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.

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