Rational points on even‐dimensional Fermat cubics
Abstract We show that even‐dimensional Fermat cubic hypersurfaces are rational over any field of characteristic not equal to three, by constructing explicit rational parameterizations with polynomials of low degree. As a byproduct of our rationality constructions, we obtain estimates for the number of their rational points over a number field and ...
Alex Massarenti
wiley +1 more source
Double Hopf bifurcation and chaotic dynamics in a periodically-forced SIR model. [PDF]
de Carvalho JPSM.
europepmc +1 more source
Local multiplicativity of perverse filtrations
Abstract Let f:S→C$f:S\rightarrow C$ be a proper surjective morphism from a smooth Kähler surface to a smooth curve. We show that the local perverse filtration associated with the induced map S[n]→C(n)$S^{[n]}\rightarrow C^{(n)}$ is multiplicative on each fiber if and only if f$f$ is an elliptic fibration.
Zili Zhang
wiley +1 more source
The AGM of Gauss, Ramanujan's corresponding theory, and spectral bounds of self-adjoint operators. [PDF]
Faulhuber M, Gumber A, Shafkulovska I.
europepmc +1 more source
T(w)o Patch or Not T(w)o Patch: A Novel Biocontrol Model
ABSTRACT A number of top‐down biocontrol models have been proposed where the introduced predators' efficacy is enhanced via the provision of additional food (AF). However, if the predator has a pest‐dependent monotone functional response, pest extinction is unattainable. In the current manuscript, we propose a model where a predator with pest‐dependent
Urvashi Verma +2 more
wiley +1 more source
Machine learning for microwave optimization using simplex surrogates, dual-resolution computational models and local tuning with sparse sensitivity updates. [PDF]
Koziel S, Pietrenko-Dabrowska A.
europepmc +1 more source
ABSTRACT The leading‐order asymptotic behavior of the solution of the Cauchy initial‐value problem for the Benjamin–Ono equation in L2(R)$L^2(\mathbb {R})$ is obtained explicitly for generic rational initial data u0$u_0$. An explicit asymptotic wave profile uZD(t,x;ε)$u^\mathrm{ZD}(t,x;\epsilon)$ is given, in terms of the branches of the multivalued ...
Elliot Blackstone +3 more
wiley +1 more source
Algebraic properties of the maps χ n. [PDF]
Schoone J, Daemen J.
europepmc +1 more source
Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke +2 more
wiley +1 more source
Advancing Mathematical Epidemiology and Chemical Reaction Network Theory via Synergies Between Them. [PDF]
Avram F, Adenane R, Neagu M.
europepmc +1 more source

