Results 21 to 30 of about 4,613 (66)
Journal of Applied Mathematics, Volume 2026, Issue 1, 2026.Dysentery diarrhea remains a major public health challenge in low‐resource settings. This study develops a novel SITR‐B model that integrates treatment pathways, treatment failure, and environmental transmission. The model incorporates logistic bacterial growth and dual decay mechanisms, providing a realistic representation of pathogen dynamics ...
Hailu Tkue Welu +5 more
wiley +1 more source
Journal of Mathematics, Volume 2026, Issue 1, 2026.This study addresses the limitation of traditional integer‐order crime models that fail to capture memory‐dependent dynamics in criminal behavior. Our objective is to develop and analyze a novel fractional‐order model incorporating media influence, police force, and rehabilitation strategies using the Liouville−Caputo derivative.
Waleed Adel +4 more
wiley +1 more source
Modeling Prey–Predator Populations With Noise Following the Extended Gaussian Distribution
Journal of Probability and Statistics, Volume 2026, Issue 1, 2026.This study examines how tourism influences the ecological balance of a protected natural park where two interacting wildlife species follow Lotka–Volterra‐type prey–predator dynamics. Tourists’ decisions to visit the park depend on environmental fluctuations, species visibility, and time‐varying preferences toward prey and predator populations.
Kumlachew Wubale Tesfaw +3 more
wiley +1 more source
Euclidean algorithms are Gaussian over imaginary quadratic fields
Journal of the London Mathematical Society, Volume 112, Issue 6, December 2025.Abstract We prove that the distribution of the number of steps of the Euclidean algorithm of rationals in imaginary quadratic fields with denominators bounded by N$N$ is asymptotically Gaussian as N$N$ goes to infinity, extending a result by Baladi and Vallée for the real case.
Dohyeong Kim, Jungwon Lee, Seonhee Lim
wiley +1 more source
A new tower over cubic finite fields [PDF]
, 2008 We present a new explicit tower of function fields (Fn)n≥0 over the finite field with ` = q3 elements, where the limit of the ratios (number of rational places of Fn)/(genus of Fn) is bigger or equal to 2(q2 − 1)/(q + 2).
Bassa, Alp +2 more
core +2 more sources
The geometry and arithmetic of bielliptic Picard curves
Journal of the London Mathematical Society, Volume 112, Issue 5, November 2025.Abstract We study the geometry and arithmetic of the curves C:y3=x4+ax2+b$C \colon y^3 = x^4 + ax^2 + b$ and their associated Prym abelian surfaces P$P$. We prove a Torelli‐type theorem in this context and give a geometric proof of the fact that P$P$ has quaternionic multiplication by the quaternion order of discriminant 6.
Jef Laga, Ari Shnidman
wiley +1 more source
Generalized Jacobian Conjectures -- A purely Algebraic Approach
, 2020 Our goal is to settle a fading problem, the Jacobian Conjecture $(JC_n)$~: If $f_1, \cdots, f_n$ are elements in a polynomial ring $k[X_1, \cdots, X_n]$ over a field $k$ of characteristic zero such that $ \det(\partial f_i/ \partial X_j) $ is a nonzero
Oda, Susumu
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Engineering Reports, Volume 7, Issue 9, September 2025.In this paper, an improved linear active disturbance suppression control method is introduced to optimize the current stress and dynamic response of the dual active bridge DC‐DC converter through extended phase‐shift modulation, which improves the overall efficiency of the converter in microgrid systems.
Haijun Tian +3 more
wiley +1 more source
Taking limits in topological recursion
Journal of the London Mathematical Society, Volume 112, Issue 3, September 2025.Abstract When does topological recursion applied to a family of spectral curves commute with taking limits? This problem is subtle, especially when the ramification structure of the spectral curve changes at the limit point. We provide sufficient (straightforward‐to‐use) conditions for checking when the commutation with limits holds, thereby closing a ...
Gaëtan Borot +4 more
wiley +1 more source
Wildly Ramified Actions and Surfaces of General Type Arising from Artin-Schreier Curves [PDF]
, 2012 We analyse the diagonal quotient for products of certain Artin--Schreier curves. The smooth models are almost always surfaces of general type, with Chern slopes tending asymptotically to 1.
Ito, Hiroyuki, Schroeer, Stefan
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