scientific article; zbMATH DE number 3390587
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Publication date: 1970
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Population dynamics (general) (92D25) Genetics and epigenetics (92D10) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to biology (92-01)
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Mazzeo, Degenerate diffusion operators arising in population biology ⋮ New cancer stochastic models involving both hereditary and nonhereditary cancer cases: a new approach ⋮ Schwinger boson formulation and solution of the crow-kimura and eigen models of quasispecies theory ⋮ An analysis of neutral-alleles and variable-environment diffusion models ⋮ The contiguity of probability measures and asymptotic inference in continuous time stationary diffusions and Gaussian processes with known covariance ⋮ Population genetics of gene function ⋮ A duality approach to the genealogies of discrete nonneutral Wright-Fisher models ⋮ Mutation, selection, and ancestry in branching models: a variational approach ⋮ How to compute the effective size of spatiotemporally structured populations using separation of time scales ⋮ Stochastic dynamics of adaptive trait and neutral marker driven by eco-evolutionary feedbacks ⋮ Gene surfing in expanding populations ⋮ Genetic drift on networks: ploidy and the time to fixation ⋮ An exact steady state solution of Fisher's geometric model and other models ⋮ Fixation probability with multiple alleles and projected average allelic effect on selection ⋮ Perturbation expansions of multilocus fixation probabilities for frequency-dependent selection with applications to the Hill-Robertson effect and to the joint evolution of helping and punishment ⋮ Exact solutions for the selection-mutation equilibrium in the Crow-Kimura evolutionary model ⋮ Comparative statics of altruism and spite ⋮ Exact Markov chain and approximate diffusion solution for haploid genetic drift with one-way mutation ⋮ Slow-fast stochastic diffusion dynamics and quasi-stationarity for diploid populations with varying size ⋮ Finite genome length corrections for the mean fitness and gene probabilities in evolution models ⋮ Nonconservative diffusions on \([0, 1\) with killing and branching: applications to Wright-Fisher models with or without selection] ⋮ Levels of multiallelic overdominance fitness, heterozygote excess and heterozygote deficiency ⋮ Models and approximations for random genetic drift ⋮ Towards a unified theory of molecular evolution (TME) ⋮ Environmental fluctuations and level of density-compensation strongly affects the probability of fixation and fixation times ⋮ Stochastic evolutionary game dynamics ⋮ Biological growth and spread modeled by systems of recursions. 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I: Moran's infinitely many neutral alleles model ⋮ A model of polymorphism with several seasons and several habitats, and its application to the mosquito Aedes aegypti ⋮ Evolution, population dynamics, and stability: A comment ⋮ Migration and mutation in stochastic models of gene frequency change. I. The Island model ⋮ Phenotypic structure and bifurcation behavior of population models ⋮ On the founder effect and the evolution of altruistic traits ⋮ A slow selection analysis of two locus, two allele traits ⋮ Homage to the red queen. I. Coevolution of predators and their victims ⋮ Some principles governing selection in self-reproducing macromolecular systems. An analog of Fisher's fundamental theorem ⋮ The mathematical theory of group selection. I. Full solution of a nonlinear Levins E=E(x) model ⋮ The concept of genetic diversity and its formal relationship to heterozygosity and genetic distance ⋮ Central limit theorems for pedigrees ⋮ Solutions of the forward diallelic diffusion equation in population genetics ⋮ On the survival of branching processes in random environments ⋮ A tri-allelic diffusion model with selection, migration, and mutation ⋮ On the equilibrium states in certain selection models ⋮ Competition between phenotypes ⋮ A reexamination of stability in randomly varying versus deterministic environments with comments on the stochastic theory of limiting similarity ⋮ Use of orthogonal transformation in population genetics theory ⋮ How phenotypic variation and life history trait correlation enhance mean fitness in prey populations ⋮ The effect of selective sweeps on the variance of the allele distribution of a linked multiallele locus: Hitchhiking of microsatellites ⋮ Effective size and \(F\)-statistics of subdivided populations for sex-linked loci ⋮ The coalescent time in the presence of background fertility selection ⋮ The effects of density dependence and immigration on local adaptation and niche evolution in a black-hole sink environment ⋮ What is the difference between models of error thresholds and Muller's ratchet? 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⋮ A hidden Markov model to estimate homozygous-by-descent probabilities associated with nested layers of ancestors ⋮ Genetic versus phenotypic models of selection: Can genetics be neglected in a long-term perspective? ⋮ Inclusive fitness arguments in genetic models of behaviour ⋮ Variational principles in evolution ⋮ Exploiting fast-variables to understand population dynamics and evolution ⋮ Environmental stochasticity and the speed of evolution ⋮ Lines of descent under selection ⋮ The parabolic Anderson model on the hypercube ⋮ Complementary variety: when can cooperation in uncertain environments outperform competitive selection? ⋮ The co-evolution of individual behaviors and social institutions ⋮ Risk management in biological evolution ⋮ A logistic branching process for population genetics ⋮ On the stochastic evolution of finite populations ⋮ Effect of selection on the topology of genealogical trees ⋮ Inbreeding coefficients for stochastically varying small population sizes -- bias of calculation based on effective numbers ⋮ The effect of genetic drift on the variance/covariance components generated by multilocus additive \(\times\) additive epistatic systems ⋮ Recombination and the evolution of mutational robustness ⋮ A computational approach to animal breeding ⋮ Error thresholds for quasispecies on single peak Gaussian-distributed fitness landscapes ⋮ Pairwise comparison and selection temperature in evolutionary game dynamics ⋮ Evolutionary graph theory: breaking the symmetry between interaction and replacement ⋮ Allelic frequency estimation in presence of uncertain priors ⋮ Cheater-altruist synergy in public goods games ⋮ The left hand side of the fundamental theorem of natural selection ⋮ The fastest evolutionary trajectory ⋮ Evolution of dispersal in a stepping-stone population with overlapping generations. ⋮ Effects of population size and metapopulation dynamics on a mating-system polymorphism. ⋮ Singular solutions of the diffusion equation of population genetics ⋮ A mathematical formalism for natural selection with arbitrary spatial and genetic structure ⋮ Competition with abundance-dependent fitness and the dynamics of heterogeneous populations in fluctuating environment ⋮ The dynamics of sex ratio evolution: the impact of males as passive gene carriers on multilevel selection ⋮ A general framework for moment-based analysis of genetic data ⋮ Forward and backward evolutionary processes and allele frequency spectrum in a cancer cell population ⋮ Stability of two-species communities: drift, environmental stochasticity, storage effect and selection ⋮ Selection originating from protein stability/foldability: relationships between protein folding free energy, sequence ensemble, and fitness ⋮ The fundamental theorem of natural selection with mutations ⋮ Fisher's fundamental theorem of natural selection, dynamic sufficiency, and the necessity of higher moments ⋮ On equilibrium properties of evolutionary multi-player games with random payoff matrices ⋮ A universal scaling law determines time reversibility and steady state of substitutions under selection ⋮ Effect of migration in a diffusion model for template coexistence in protocells ⋮ Concentration estimates in a multi-host epidemiological model structured by phenotypic traits ⋮ An asymptotic maximum principle for essentially linear evolution models ⋮ Diffusion approximation for an age-class-structured population under viability and fertility selection with application to fixation probability of an advantageous mutant ⋮ Forward and backward diffusion approximations for haploid exchangeable population models. ⋮ Perenniality induces high inbreeding depression in self-fertilising species ⋮ Effective sizes and time to migration-drift equilibrium in geographically subdivided populations ⋮ Survival of a recessive allele in a Mendelian diploid model ⋮ Renormalization group and fractional calculus methods in a complex world: a review ⋮ A dynamical analysis of allele frequencies in populations evolving under assortative mating and mutations ⋮ Variability in the evolutionarily stable seasonal timing of germination and maturation of annuals and the mode of competition ⋮ The recovery of a recessive allele in a Mendelian diploid model ⋮ A white noise approach to evolutionary ecology ⋮ Quasi-species evolution maximizes genotypic reproductive value (not fitness or flatness) ⋮ On the waiting time until coordinated mutations get fixed in regulatory sequences ⋮ Close-kin mark-recapture ⋮ Self-extinction through optimizing selection ⋮ An optimization framework of biological dynamical systems ⋮ Application of Markov chains to linked genes with interference. II: Genotypic selection ⋮ Quantitative variability and multilocus polymorphism under epistatic selection ⋮ Relatedness and inclusive fitness with inbreeding ⋮ Structure of the \(\boldsymbol{G}\)-matrix in relation to phenotypic contributions to fitness ⋮ Dynamics of polygenic characters under selection ⋮ A stochastic model for predator-prey systems: basic properties, stability and computer simulation ⋮ Speciation and the shifting balance in a continuous population ⋮ Perturbations of positive semigroups and applications to population genetics ⋮ Age-specific optimal diets and optimal foraging tactics: A life-historic approach ⋮ Metacommunities, fitness and gradual evolution ⋮ Assortative mating and the segregation variance ⋮ The evolutionary effect of endemic infectious disease: Continuous models for an invariant pathogen ⋮ Survival in branching cellular populations ⋮ On the evolution of multigene families ⋮ Critical manifolds, travelling waves, and an example from population genetics ⋮ Limiting distribution of X-chromosomal coalescence times under first-cousin consanguineous mating ⋮ The effective number of a population that varies cyclically in size. I: Discrete generations ⋮ Non-linear age-dependent population dynamics ⋮ Improved inference of mutation rates. I: An integral representation for the Luria-Delbrück distribution ⋮ The ESS under spatial variation with applications to sex allocation. ⋮ Epistasis and the conversion of non-additive to additive genetic variance at population bottle\-necks. ⋮ The effective number of a population that varies cyclically in size. II: overlapping generations ⋮ How temporal environmental stochasticity affects species richness: destabilization, neutralization and the storage effect
