Linlin Su
Worcester Polytechnic Institute
Network
Latest external collaboration on country level. Dive into details by clicking on the dots.
Publication
Featured researches published by Linlin Su.
Theoretical Population Biology | 2014
Thomas Nagylaki; Linlin Su; Ian Alevy; Todd Dupont
In geographically structured populations, global panmixia can be regarded as the limiting case of long-distance migration. The effect of incorporating partial panmixia into diallelic single-locus clines (i.e., asymptotically stable equilibria) maintained by migration and selection in an isotropic environmental pocket in n dimensions is investigated. The population density is uniform. Migration and selection are both weak; the former is homogeneous and isotropic; the latter is directional. If the scaled panmictic rate β≥1, then the allele favored in the pocket is ultimately lost. For β<1, a cline is maintained if and only if the scaled radius a of the pocket exceeds a critical value an. For a step-environment without dominance, simple, explicit formulas are derived for a1 and a3; an equation with a unique solution and simple, explicit approximations are deduced for a2. The ratio of the selection coefficients outside and inside the pocket is -α. As expected intuitively, the cline becomes more difficult to maintain; i.e., the critical radius an increases for n=1,2,3,… as α, β, or n increases.
Theoretical Population Biology | 2012
Linlin Su; Roger Lui
In this paper, we find and classify all existing patterns for a single-locus four-allele population genetics models in continuous time. An existing pattern for a k-allele model means a set of all coexisting asymptotically stable equilibria with respect to the flow defined by the system of equations ṗ(i)=p(i)(r(i)-r),i=1,…,k, where p(i) and r(i) are the frequency and marginal fitness of allele A(i), respectively, and r is the mean fitness of the population. It is well known that for the two-allele model there are only three existing patterns, depending on the relative fitness between the homozygotes and the heterozygote. For the three-allele model there are 14 existing patterns, and we shall show in this paper that for the four-allele model there are 117 existing patterns. We also describe the domains of attraction for coexisting asymptotically stable equilibria. The problem of finding existing patterns has been studied in the past, and it is an important problem because the results can be used to predict the long-term genetic makeup of a population. It should be pointed out that this continuous-time model is only an approximation to the corresponding discrete-time model. However, the set of equilibria and their stability properties are the same for the two models.
Siam Journal on Applied Mathematics | 2016
Josef Hofbauer; Linlin Su
We investigate the evolution of the gene frequencies at a multiallelic locus under the joint action of migration and viability selection. The population is subdivided into finitely many panmictic colonies that exchange adult migrants independently of their genotype. If the selection pattern is the same in every colony and such that
Journal of Theoretical Biology | 2012
Linlin Su; Roger Lui
\hat{p}
Discrete and Continuous Dynamical Systems | 2010
Yuan Lou; Wei Meng Ni; Linlin Su
is a globally asymptotically stable equilibrium under pure selection, then can migration change the (global) stability of
Discrete and Continuous Dynamical Systems | 2010
Kimie Nakashima; Wei Ming Ni; Linlin Su
\hat{p}
Journal of Differential Equations | 2013
Yuan Lou; Thomas Nagylaki; Linlin Su
? When
Discrete and Continuous Dynamical Systems | 2014
Linlin Su; Thomas Nagylaki
\hat{p}
european conference on mathematical and theoretical biology | 2014
Linlin Su
is a complete polymorphism, the answer is no, which means the ultimate state of the population is unaffected by geographical structure. However, if not every allele is present in
Journal of Mathematical Analysis and Applications | 2015
Josef Hofbauer; Linlin Su
\hat{p}