Zobrazeno 1 - 10
of 101
pro vyhledávání: '"92D15, 92D25"'
Autor:
Browning, Alexander P, Hamis, Sara
Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a discrete
Externí odkaz:
http://arxiv.org/abs/2411.03166
Autor:
Liu, Ruodan, Masuda, Naoki
Publikováno v:
SIAM Journal on Applied Mathematics Vol. 84, No. 5, pp. 2028-2050 (2024)
Network structure has a large impact on constant-selection evolutionary dynamics, with which multiple types of fitness (i.e., strength) compete on the network. Here we study constant-selection dynamics on two-layer networks in which the fitness of a
Externí odkaz:
http://arxiv.org/abs/2311.16457
Autor:
Esser, Manuel, Kraut, Anna
We consider a stochastic individual-based model of adaptive dynamics for an asexually reproducing population with mutation, with linear birth and death rates, as well as a density-dependent competition. To depict repeating changes of the environment,
Externí odkaz:
http://arxiv.org/abs/2310.20509
We introduce a broad class of spatial models to describe how spatially heterogeneous populations live, die, and reproduce. Individuals are represented by points of a point measure, whose birth and death rates can depend both on spatial position and l
Externí odkaz:
http://arxiv.org/abs/2305.14488
Autor:
Schweinsberg, Jason, Shuai, Yubo
Consider a birth and death process started from one individual in which each individual gives birth at rate $\lambda$ and dies at rate $\mu$, so that the population size grows at rate $r = \lambda - \mu$. Lambert and Harris, Johnston, and Roberts cam
Externí odkaz:
http://arxiv.org/abs/2304.13851
Autor:
Möhle, Martin
A multi-type neutral Cannings population model with mutation and fixed subpopulation sizes is analyzed. Under appropriate conditions, as all subpopulation sizes tend to infinity, the ancestral process, properly time-scaled, converges to a multi-type
Externí odkaz:
http://arxiv.org/abs/2304.05809
Autor:
Piunovskiy, Alexey, Vasiev, Bakhti
Following the ideas of L.N.Gumilev, we introduce the mathematical model of ethnogenesis which describes the dynamics of subgroups in the developing polity in terms of ordinary differential equations. The bust dynamics associated with the rise and fal
Externí odkaz:
http://arxiv.org/abs/2201.12873
Autor:
Wang, Xiaoliang, Harrison, Andrew
Range expansion is a universal process in biological systems, and therefore plays a part in biological evolution. Using a quantitative individual-based method based on the stochastic process, we identify that enhancing the inherent self-proliferation
Externí odkaz:
http://arxiv.org/abs/2201.05353
Autor:
Esser, Manuel, Kraut, Anna
We consider a stochastic individual-based model of adaptive dynamics on a finite trait graph $G=(V,E)$. The evolution is driven by a linear birth rate, a density dependent logistic death rate an the possibility of mutations along the (possibly direct
Externí odkaz:
http://arxiv.org/abs/2112.12675
Autor:
Chao, Brian, Schweinsberg, Jason
We consider a spatial model of cancer in which cells are points on the $d$-dimensional torus $\mathcal{T}=[0,L]^d$, and each cell with $k-1$ mutations acquires a $k$th mutation at rate $\mu_k$. We will assume that the mutation rates $\mu_k$ are incre
Externí odkaz:
http://arxiv.org/abs/2108.09590