Zobrazeno 1 - 10
of 96
pro vyhledávání: '"van Heijster, Peter"'
Autor:
Carter, Paul, Doelman, Arjen, van Heijster, Peter, Levy, Daniel, Maini, Philip, Okey, Erin, Yeung, Paige
We consider a Gatenby--Gawlinski-type model of invasive tumors in the presence of an Allee effect. We describe the construction of bistable one-dimensional traveling fronts using singular perturbation techniques in different parameter regimes corresp
Externí odkaz:
http://arxiv.org/abs/2408.16172
We study the dynamics of front solutions in a certain class of multi-component reaction-diffusion systems, where one fast component governed by an Allen-Cahn equation is weakly coupled to a system of $N$ linear slow reaction-diffusion equations. By u
Externí odkaz:
http://arxiv.org/abs/2406.04458
We study the effect of speciation, i.e. the introduction of new species through evolution into communities, in the setting of predator-prey systems. Predator-prey dynamics is classically well modeled by Lotka-Volterra equations, also when multiple pr
Externí odkaz:
http://arxiv.org/abs/2403.04506
In Bhattacharya et al. (Science Advances, 2020), a set of chemical reactions involved in the dynamics of actin waves in cells was studied. Both at the microscopic level, where the individual chemical reactions are directly modelled using Gillespie-ty
Externí odkaz:
http://arxiv.org/abs/2301.13509
Analytically tracking patterns emerging from a small amplitude Turing instability to large amplitude remains a challenge as no general theory exists. In this paper, we consider a three component reaction-diffusion system with one of its components si
Externí odkaz:
http://arxiv.org/abs/2301.08075
Publikováno v:
In Ecological Modelling May 2024 491
The question of whether biological populations survive or are eventually driven to extinction has long been examined using mathematical models. In this work we study population survival or extinction using a stochastic, discrete lattice-based random
Externí odkaz:
http://arxiv.org/abs/2101.01389
Reaction-diffusion equations (RDEs) are often derived as continuum limits of lattice-based discrete models. Recently, a discrete model which allows the rates of movement, proliferation and death to depend upon whether the agents are isolated has been
Externí odkaz:
http://arxiv.org/abs/2011.07857
In this manuscript, we study a Leslie-Gower predator-prey model with a hyperbolic functional response and weak Allee effect. The results reveal that the model supports coexistence and oscillation of both predator and prey populations. We also identif
Externí odkaz:
http://arxiv.org/abs/2009.02478
Autor:
Teramoto, Takashi, van Heijster, Peter
We use geometric singular perturbation techniques combined with an action functional approach to study traveling pulse solutions in a three-component FitzHugh--Nagumo model. First, we derive the profile of traveling $1$-pulse solutions with undetermi
Externí odkaz:
http://arxiv.org/abs/2008.12942