Found 116 Documents (Results 1–100)
Impact of a unilateral horizontal gene transfer on the evolutionary equilibria of a population. (English) Zbl 1542.35393
Concentration profiles in FitzHugh-Nagumo neural networks: a Hopf-Cole approach. (English) Zbl 1533.35344
Multiscale eco-evolutionary models: from individuals to populations. (English) Zbl 1533.92168
Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 7. Sections 15–20. Berlin: European Mathematical Society (EMS). 5656-5678 (2023).
Patterning of nonlocal transport models in biology: the impact of spatial dimension. (English) Zbl 1534.92013
Existence, uniqueness and ergodicity for the centered Fleming-Viot process. (English) Zbl 1535.37012
The Cauchy problem for the infinitesimal model in the regime of small variance. (English) Zbl 1530.35057
Filling the gap between individual-based evolutionary models and Hamilton-Jacobi equations. (Des modèles stochastiques d’évolution aux équations de Hamilton-Jacobi.) (English. French summary) Zbl 1526.92035
Adaptation to a heterogeneous patchy environment with non-local dispersion. (English) Zbl 1526.35028
Adaptation of a quantitative trait to a changing environment: new analytical insights on the asexual and infinitesimal sexual models. (English) Zbl 07736783
MSC:
92-XX
Selection-mutation dynamics with spatial dependence. (English. French summary) Zbl 1518.35102
Concentration in Lotka-Volterra parabolic equations: an asymptotic-preserving scheme. (English) Zbl 1518.65083
Reviewer: Bülent Karasözen (Ankara)
Stability of the chemostat system including a linear coupling between species. (English) Zbl 1508.34048
The best of both worlds: combining population genetic and quantitative genetic models. (English) Zbl 07702576
MSC:
92-XX
Invasion fronts and adaptive dynamics in a model for the growth of cell populations with heterogeneous mobility. (English) Zbl 1507.35300
Reviewer: Eugene Postnikov (Kursk)
Dynamics of Dirac concentrations in the evolution of quantitative alleles with sexual reproduction. (English) Zbl 1501.35409
Coevolutionary dynamics of host-pathogen interaction with density-dependent mortality. (English) Zbl 1497.92183
Adaptation to DNA damage, an asymptotic approach for a cooperative non-local system. (English) Zbl 1492.35021
Selection-mutation dynamics with asymmetrical reproduction kernels. (English) Zbl 1496.35398
Reviewer: Andrea Tellini (Madrid)
An asymptotic preserving scheme for capturing concentrations in age-structured models arising in adaptive dynamics. (English) Zbl 07540368
Adaptive dynamics of a stoichiometric phosphorus-algae-zooplankton model with environmental fluctuations. (English) Zbl 1496.37096
Evolutionary dynamics of complex traits in sexual populations in a heterogeneous environment: how normal? (English) Zbl 1492.35359
Local asymptotic stability of a system of integro-differential equations describing clonal evolution of a self-renewing cell population under mutation. (English) Zbl 1483.92058
Adaptation in a heterogeneous environment I: persistence versus extinction. (English) Zbl 1473.35598
A mathematical study of the influence of hypoxia and acidity on the evolutionary dynamics of cancer. (English) Zbl 1467.92057
On the uniqueness of solutions to one-dimensional constrained Hamilton-Jacobi equations. (English) Zbl 1466.35003
Dynamics of concentration in a population structured by age and a phenotypic trait with mutations. Convergence of the corrector. (English) Zbl 1466.35018
Global boundedness and the Allee effect in a nonlocal bistable reaction-diffusion equation in population dynamics. (English) Zbl 1464.35026
Survival criterion for a population subject to selection and mutations; application to temporally piecewise constant environments. (English) Zbl 1464.92184
Asymptotic and transient behaviour for a nonlocal problem arising in population genetics. (English) Zbl 1504.35061
Asymptotic analysis of selection-mutation models in the presence of multiple fitness peaks. (English) Zbl 1454.35398
Concentration estimates in a multi-host epidemiological model structured by phenotypic traits. (English) Zbl 1451.35230
Uniqueness of the viscosity solution of a constrained Hamilton-Jacobi equation. (English) Zbl 1448.35102
Modelling the evolutionary dynamics of host resistance-related traits in a susceptible-infected community with density-dependent mortality. (English) Zbl 1444.92073
Clamping and synchronization in the strongly coupled FitzHugh-Nagumo model. (English) Zbl 1447.35335
Reviewer: Eugene Postnikov (Kursk)
An adaptative model for a multistage structured population under fluctuating environment. (English) Zbl 1436.35254
Slow convergence to equilibrium for an evolutionary epidemiology integro-differential system. (English) Zbl 1436.35041
Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments. (English) Zbl 1434.35250
Singular limits for models of selection and mutations with heavy-tailed mutation distribution. (English. French summary) Zbl 1430.35130
Reviewer: Joseph Shomberg (Providence)
Adaptive dynamics of hematopoietic stem cells and their supporting stroma: a model and mathematical analysis. (English) Zbl 1497.92082
Spreading in kinetic reaction-transport equations in higher velocity dimensions. (English) Zbl 1433.35415
A structured population model of clonal selection in acute leukemias with multiple maturation stages. (English) Zbl 1423.35383
A probabilistic approach to Dirac concentration in nonlocal models of adaptation with several resources. (English) Zbl 1466.60054
Concentration phenomena in an integro-PDE model for evolution of conditional dispersal. (English) Zbl 1429.35126
Reviewer: Andrey Zahariev (Plovdiv)
Asymptotic analysis of a quantitative genetics model with nonlinear integral operator. (Analyse asymptotique d’un modèle de génétique quantitative avec un opérateur intégral non linéaire.) (English. French summary) Zbl 1420.35167
Reviewer: Rodica Luca (Iaşi)
Dynamics of interfaces in the Fisher-KPP equation for slowly decaying initial data. (English) Zbl 1419.35112
Reviewer: Andrey Zahariev (Plovdiv)
Combination of direct methods and homotopy in numerical optimal control: application to the optimization of chemotherapy in cancer. (English) Zbl 1416.49024
Dirac-concentrations in an integro-PDE model from evolutionary game theory. (English) Zbl 1404.35242
The mathematics of mechanobiology and cell signaling. Abstracts from the workshop held February 25–March 3, 2018. (English) Zbl 1409.00061
Mesoscopic models in biology. (English) Zbl 1401.92157
Mehrmann, Volker (ed.) et al., European congress of mathematics. Proceedings of the 7th ECM (7ECM) congress, Berlin, Germany, July 18–22, 2016. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-176-7/hbk; 978-3-03719-676-2/ebook). 813-831 (2018).
Long time evolutionary dynamics of phenotypically structured populations in time-periodic environments. (English) Zbl 1491.35272
Dynamics of concentration in a population model structured by age and a phenotypical trait. (English) Zbl 1398.35251
Asymptotic analysis and optimal control of an integro-differential system modelling healthy and cancer cells exposed to chemotherapy. (English. French summary) Zbl 1393.35263
Reviewer: Leonid Berezanski (Beer-Sheva)
Thin front limit of an integro-differential Fisher-KPP equation with fat-tailed kernels. (English) Zbl 1403.45001
Reviewer: Sergiu Aizicovici (Athens/Ohio)
Does assortative mating lead to a polymorphic population? A toy model justification. (English) Zbl 1511.92047
A Hamilton-Jacobi approach to characterize the evolutionary equilibria in heterogeneous environments. (English) Zbl 1383.35108
Super-linear spreading in local and non-local cane toads equations. (English. French summary) Zbl 1375.35565
Gaussian approximations for chemostat models in finite and infinite dimensions. (English) Zbl 1372.60019
Stability of Dirac concentrations in an integro-PDE model for evolution of dispersal. (English) Zbl 1379.35136
Reviewer: Eugene Postnikov (Kursk)
Steady state concentration for a phenotypic structured problem modeling the evolutionary epidemiology of spore producing pathogens. (English) Zbl 1360.92077
A Hamilton-Jacobi method to describe the evolutionary equilibria in heterogeneous environments and with non-vanishing effects of mutations. (Méthode de Hamilton-Jacobi pour décrire des équilibres évolutifs dans les environnements hétérogènes avec des mutations non évanescentes.) (English. French summary) Zbl 1366.92104
A non-local rare mutations model for quasispecies and prisoner’s dilemma: numerical assessment of qualitative behaviour. (English) Zbl 1375.92039
A class of Hamilton-Jacobi equations with constraint: uniqueness and constructive approach. (English) Zbl 1342.35066
Top predators induce the evolutionary diversification of intermediate predator species. (English) Zbl 1343.92451
MSC:
92D25
Asymptotic analysis of a selection model with space. (English. French summary) Zbl 1327.35011
Weak convergence of a mass-structured individual-based model. (English) Zbl 1325.60139
Appl. Math. Optim. 72, No. 1, 37-73 (2015); erratum ibid. 72, No. 1, 75-76 (2015).
Uniqueness in a class of Hamilton-Jacobi equations with constraints. (Unicité pour une classe d’équations de Hamilton-Jacobi avec contraintes.) (English. Abridged French version) Zbl 1343.35064
Singular limits for reaction-diffusion equations with fractional Laplacian and local or nonlocal nonlinearity. (English) Zbl 1346.35109
Reviewer: Mariano Rodríguez Ricard (La Habana)
Hamilton-Jacobi approach for dynamic population models. (Approche Hamilton-Jacobi pour des modéles de dynamique des populations.) (French) Zbl 1325.35236
The impact of cell density and mutations in a model of multidrug resistance in solid tumors. (English) Zbl 1329.92055
MSC:
92C50
Asymptotic dynamics in populations structured by sensitivity to global warming and habitat shrinking. (English) Zbl 1305.35149
Adaptation in a stochastic multi-resources chemostat model. (English) Zbl 1322.92052
Reviewer: Fatima T. Adilova (Tashkent)
Adaptive evolution of attack ability promotes the evolutionary branching of predator species. (English) Zbl 1302.92120
MSC:
92D25
An efficient pseudo-spectral Legendre-Galerkin method for solving a nonlinear partial integro-differential equation arising in population dynamics. (English) Zbl 1279.65143
A mathematical model for the dynamics of cancer hepatocytes under therapeutic actions. (English) Zbl 1336.92037
MSC:
92C50
Invasion fronts with variable motility: phenotype selection, spatial sorting and wave acceleration. (English. Abridged French version) Zbl 1253.35186
Asymptotic dynamics in continuous structured populations with mutations, competition and mutualism. (English) Zbl 1232.37044
Local stability of evolutionary attractors for continuous structured populations. (English) Zbl 1263.92035
Reviewer: Kun Soo Chang (Seoul)
Adaptive evolution of foraging-related traits in a predator-prey community. (English) Zbl 1411.92227
Random modeling of adaptive dynamics and evolutionary branching. (English) Zbl 1379.92039
Chalub, Fabio A. C. C. (ed.) et al., The mathematics of Darwin’s legacy. Basel: Birkhäuser (ISBN 978-3-0348-0121-8/hbk; 978-3-0348-0122-5/ebook). Mathematics and Biosciences in Interaction, 175-192 (2011).
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