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Complex networks generated by the Penna bit-string model: Emergence of small-world and assortative mixing

Chunguang Li·Philip K. Maini
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Abstract

The Penna bit-string model successfully encompasses many phenomena of population evolution, including inheritance, mutation, evolution and ageing. If we consider social interactions among individuals in the Penna model, the population will form a complex network. In this paper, we first modify the Verhulst factor to control only the birth rate, and introduce activity-based preferential reproduction of offspring in the Penna model. The social interactions among individuals are generated by both inheritance and activity-based preferential increase. Then we study the properties of the complex network generated by the modified Penna model. We find that the resulting complex network has a small-world effect and the assortative mixing property.

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Chunguang Li, Philip K. Maini. 2005-10-25. Complex networks generated by the Penna bit-string model: Emergence of small-world and assortative mixing. https://doi.org/10.1103/physreve.72.045102

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