Ben-Ari and Schinazi (J Stat Phys 162:415-425, 2016) introduced a stochastic model to study 'virus-like evolving population with high mutation rate'. This model is a birth and death model with an individual at birth being either a mutant with a random fitness parameter in [0, 1] or having one of the existing fitness parameters with uniform probability; whereas a death event removes the entire population of the least fitness. We change this to incorporate the notion of 'survival of the fittest', by requiring that a non-mutant individual, at birth, has a fitness according to a preferential attachment mechanism, i.e., it has a fitness f with a probability proportional to the size of the population of fitness f. Also death just removes one individual with the least fitness. This preferential attachment rule leads to a power law behaviour in the asymptotics, unlike the exponential behaviour obtained by Ben-Ari and Schinazi (J Stat Phys 162:415-425, 2016).

Rahul Roy

Hideki Tanemura

Journal of Mathematical Biology

数学生物学杂志专注于数学生物学 - 使用数学方法获得生物学理解或解释生物学现象的工作。涵盖的生物学领域包括但不限于细胞生物学、生理学、发育、神经生物学、遗传学和种群遗传学，人口生物学、生态学、行为生物学、进化论、流行病学、免疫学、分子生物学、生物流体、DNA和蛋白质结构和功能。包括计算和可视化方法在内的所有数学方法都是合适的。

The Journal of Mathematical Biology focuses on mathematical biology, aiming to understand and explain biological phenomena through mathematical methods. The fields of biology covered include, but are not limited to, cell biology, physiology, development, neurobiology, genetics, population genetics, demography, ecology, behavioral biology, evolution, epidemiology, immunology, molecular biology, biophysics, and the structure and function of DNA and proteins. All mathematical methods, including computational and visualization techniques, are welcome.

《Journal of Mathematical Biology》是一本专注于数学生物学的期刊，致力于通过数学方法来理解和解释生物现象。该期刊涵盖的生物学领域包括但不限于细胞生物学、生理学、发育、生物神经学、遗传学、种群遗传学、人口生物学、生态学、行为生物学、进化论、流行病学、免疫学、分子生物学、生物流体以及DNA和蛋白质的结构与功能。所有涉及计算和可视化方法的数学研究均被接受。

Category	Quartile
数学	4
数学, 数学与计算生物学	3
数学, 生物学	4

On a model of evolution of subspecies

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Journal Info

Category	Quartile
MATHEMATICAL & COMPUTATIONAL BIOLOGY	2