Survivability of Verhulst-free Populations under Mutation Accumulation

Stable nonzero populations without random deaths caused by the Verhulst factor (Verhulst-free) are a rarity. Majority either grow without bounds or die of excessive harmful mutations. To delay the accumulation of bad genes or diseases, a new environmental parameter Γ is introduced in the simulation. Current results demonstrate that stability may be achieved by setting Γ = 0.1. These steady states approach a maximum size that scales inversely with reproduction age.




References:
[1] C.M.N. Pi├▒ol and R.S. Banzon, "Stability in a Population Model without
Random Deaths by the Verhulst Factor", Physica A, vol. 390, no. 7, pp.
1295--1299, 2011.
[2] T.J.P. Penna, "A Bit-string Model for Biological Aging", J Stat Phys,
vol, 78, pp. 1629--1633, 1995.
[3] J.D. Murray, Mathematical Biology: I. An Introduction, Berlin
Heidelberg: Springer-Verlag, 2002, ch. 1.
[4] M. Lynch and W. Gabriel, "Mutation Load and Survival of Small
Populations", Evolution, vol. 44, pp. 1725--1737, 1970.
[5] K. Malarz, "The Risk of Extinction - the mutational meltdown or the
overpopulation", Theory Biosci, vol. 125, pp. 147--156, 2007.
[6] P. Pamilo, M. Nei and W-H Li, "Accumulation of mutations in sexual
and asexual populations", Genet Res, Camb, vol. 49, pp. 135--146, 1987
[7] A.M. Garcia, R. Brent Calder, M.E.T. Dollé, M. Lundell, P. Kapahi and
J. Vijg, "Age- and Temperature-Dependent Somatic Mutation
Accumulation in Drosophila melanogaster", PLoS Genet, vol. 6, no. 5,
doi:10.1371/journal.pgen.1000950.