127 citations · 234 across the 19 of their papers we have counts for
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Fluctuations and Dispersal Rates in Population Dyanmics
David A. Kessler, Leonard M. Sander
Dispersal of species to find a more favorable habitat is important in population dynamics. Dispersal rates evolve in response to the relative success of different dispersal strateg…
Universal features of surname distribution in a subsample of a growing population
Yosef E. Maruvka, Nadav M. Shnerb, David A. Kessler
We examine the problem of family size statistics (the number of individuals carrying the same surname, or the same DNA sequence) in a given size subsample of an exponentially growi…
The fixation probability of rare mutators in finite asexual populations
C. Scott Wylie, Cheol-Min Ghim, David A. Kessler +1
A mutator is an allele that increases the mutation rate throughout the genome by disrupting some aspect of DNA replication or repair. Mutators that increase the mutation rate by th…
Epidemic Size in the Sis Model of Endemic Infec- Tions
David A. Kessler
We study the Susceptible-Infected-Susceptible model of the spread of an endemic infection. We calculate an exact expression for the mean number of transmissions for all values of t…
Solution of an infection model near threshold
David A. Kessler, Nadav M. Shnerb
We study the Susceptible-Infected-Recovered model of epidemics in the vicinity of the threshold infectivity. We derive the distribution of total outbreak size in the limit of large…
Extinction Rates for Fluctuation-Induced Metastabilities : A Real-Space WKB Approach
David A. Kessler, Nadav M. Shnerb
The extinction of a single species due to demographic stochasticity is analyzed. The discrete nature of the individual agents and the Poissonian noise related to the birth-death pr…