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Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
Ana-Maria Boldeanu, Mircea Neagu
https://arxiv.org/abs/2510.09843 https://arxiv.org…

Lagrange-Hamilton geometry applied to a Lotka-Volterra dynamical system
The aim of this paper is to develop, via the least squares variational method, the Lagrange-Hamilton geometry (in the sense of nonlinear connections, d-torsions and Lagrangian Yang-Mills electromagnetic-like energy) produced by a Lotka-Volterra dynamical system, a simple model of the population dynamics of species competing for some common resource. From a geometrical point of view, the Jacobi stability of this system is discussed.

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The Lotka-Volterra Predator-Prey Model with Disturbance
Arhonefe Joseph Ogethakpo, Sunday Amaju Ojobor
https://arxiv.org/abs/2510.09628 https://arxiv.org/p…

The Lotka-Volterra Predator-Prey Model with Disturbance
The forces which drive growth, development, survival and change within an ecological system involving a predator and prey specie are not easily addressed in the field. To better understand the dynamics in the system, ecologists have turned to mathematical models. The predator-prey dynamics of rat and cat population in a given ecology is studied. The mathematical model proposed by Alfred J. Lotka and Vito Volterra called the Lotka-Volterra model for studying predator-prey dynamics is utilized. A…

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Replaced article(s) found for cs.SE. https://arxiv.org/list/cs.SE/new
[1/1]:
- A MAPE-K-Based Method for Architectural Conformance Checking in Self-Adaptive Systems
Daniel San Mart\'in, Guisella Angulo, Valter Vieira de Camargo

Drift estimation for rough processes under small noise asymptotic : QMLE approach
Arnaud Gloter (LaMME), Nakahiro Yoshida
https://arxiv.org/abs/2510.09028 https://

Drift estimation for rough processes under small noise asymptotic : QMLE approach
We consider a process X^$ε$ solution of a stochastic Volterra equation with an unknown parameter $θ$ in the drift function. The Volterra kernel is singular and given by K(u) = cu $α$-1 __u>0 with $α$ $\in$ (1/2, 1) and it is assumed that the diffusion coefficient is proportional to $ε$ $\rightarrow$ 0 Based on the observation of a discrete sampling with mesh h $\rightarrow$ 0 of the Volterra process, we build a Quasi Maximum Likelihood Estimator. The main step is to assess the error arisin…

Gaussian beam interactions and inverse source problems for nonlinear wave equations
Matti Lassas, Tony Liimatainen, Valter Pohjola, Teemu Tyni
https://arxiv.org/abs/2510.11494 h…

Gaussian beam interactions and inverse source problems for nonlinear wave equations
We study the inverse source problem for the semilinear wave equation \[ (\Box_g + q_1)u + q_2 u^2 = F, \] on a globally hyperbolic Lorentzian manifold. We demonstrate that the coefficients $q_1$ and $q_2$, as well as the source term $F$, can be recovered up to a natural gauge symmetry inherent in the problem from local measurements. Furthermore, if $q_1$ is known, we establish the unique recovery of the source $F$, which is in a striking contrast to inverse source problems for linear equations …

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Da sind sie wieder. Hab schon gewartet, wann die #Raupen auftauchen. Den #Kohlweißling hatte ich bereits vor Wochen beobachten können. Eigentlich soll der ja an die #Kapuzinerkresse geh…

The Ricci tensor of a gradient Ricci soliton with harmonic Weyl tensor
Valter Borges, Matheus Andrade Ribeiro de Moura Hor\'acio, Jo\~ao Paulo dos Santos
https://arxiv.org/abs/2510.11939

The Ricci tensor of a gradient Ricci soliton with harmonic Weyl tensor
In this article, we give a new proof of a result due to J. Kim, which states that the Ricci tensor of a gradient Ricci soliton with dimension $n \geq 4$ and harmonic Weyl tensor has at most three distinct eigenvalues. This result constitutes an essential step in the classification of such manifolds, originally established by J. Kim in dimension $4$ and subsequently extended to dimensions $n\geq5$. Our proof offers two notable advantages: it is shorter and does not require the use of any special…