Zobrazeno 1 - 5
of 5
pro vyhledávání: '"Petra Nábělková"'
We study the Mackey-Glass type monostable delayed reaction-diffusion equation with a unimodal birth function $g(u)$. This model, designed to describe evolution of single species populations, is considered here in the presence of the weak Allee effect
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d0e6bcec6f37ac0a219420a094f97161
http://arxiv.org/abs/2010.06058
http://arxiv.org/abs/2010.06058
Publikováno v:
Journal of Mathematical Biology
We study global dynamics of an SIR model with vaccination, where we assume that individuals respond differently to dynamics of the epidemic. Their heterogeneous response is modeled by the Preisach hysteresis operator. We present a condition for the g
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::ddb3b482fe8739c0176a9edddf48e9c2
By proving the existence of non-monotone and non-oscillating wavefronts for the Nicholson's blowflies diffusive equation (the NDE), we answer an open question raised in [16]. Surprisingly, these wavefronts can be observed only for sufficiently small
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::26532936ccc5577812bf71490d34c72d
http://arxiv.org/abs/1906.05711
http://arxiv.org/abs/1906.05711
In this work, we answer three fundamental questions concerning monostable travelling fronts for the scalar Kolmogorov ecological equation with diffusion and spatiotemporal interaction: these are the questions about their existence, uniqueness and geo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::e12baaed5a71349f694c6273b75eedf3
Publikováno v:
Journal of Differential Equations. 260:6130-6175
We consider the nonlocal KPP-Fisher equation $u_t(t,x) = u_{xx}(t,x) + u(t,x)(1-(K *u)(t,x))$ which describes the evolution of population density $u(t,x)$ with respect to time $t$ and location $x$. The non-locality is expressed in terms of the convol