Revistas académicas de la Universidad Católica del Norte
Not a member yet
1687 research outputs found
Sort by
Dynamical modeling and stability analysis of a pest-predator system with biopesticide intervention and a specific nonlinear functional response
No full textIn this paper, a new mathematical model of the interactions between pests, predators of pests and biopesticides (viruses) is proposed and analysed. The susceptible pests transform to infected pests due to the effect of pesticides by following a special type of functional responses depending on virus. The model admits three types of equilibria, namely, pest-free equilibrium, virus-free equilibrium and interior equilibrium. We theoretically investigate the local stability of the equilibria. The findings show that the virus-free equilibrium is conditionally stable, whereas the pest-free equilibrium is always unstable. The interior equilibrium is locally asymptotically stable under certain parameter conditions. Some numerical simulations are performed to explore crop dynamics and to obtain significant insights
Nonlinear Mathematical Model for Lung Cancer with Time Delay
No full textThis study explains the cause of the delay in susceptible individuals contracting the disease by utilizing SSASPAIR mathematical modeling and model analysis to examine the dynamics of lung cancer. Using delay factors, this study aims to investigate how alcohol and smoking affect the development of lung cancer. The stability of the model is examined and assessed in this study. The stability requirements are a ected by the fundamental reproduction number. We show that asymptomatic cases from an impacted population have a substantial impact on the community's overall cancer infection prevalence
A note on complementary tree domination number of a tree
No full textA complementary tree dominating set of a graph G, is a set D of vertices of G such that D is a dominating set and the induced sub graph (V \ D) is a tree. The complementary tree domination number of a graph G, denoted by γctd(G), is the minimum cardinality of a complementary tree dominating set of G. An edge-vertex dominating set of a graph G is a set D of edges of G such that every vertex of G is incident with an edge of D or incident with an edge adjacent to an edge of D. The edge-vertex domination number of a graph, denoted by γev (G), is the minimum cardinality of an edge-vertex dominating set of G. We characterize trees for which γ(T) = γctd(T) and γctd(T) = γev(T) + 1
Invertibility in partially ordered nonassociative rings and in Hausdorff Cauchy-complete weak-quasi-topological nonassociative rings endowed with an ordered ring valued seminorm
No full textInvertibility is important in ring theory because it enables division and facilitates solving equations. Moreover, (nonassociative) rings can be endowed with an extra ''structure'' such as order and topology allowing more richness in the theory. The two main theorems of this article are contributions to invertibility in the context of partially ordered nonassociative rings \textit{and} Hausdorff sequentially Cauchy-complete weak-quasi-topological nonassociative rings. Specifically, the first theorem asserts that the interval in any suitable partially ordered nonassociative ring consists entirely of invertible elements. The second theorem asserts that if is a suitably generalized concept of seminorm from a nonassociative ring to a partially ordered nonassociative ring endowed with Frink's interval topology, then under certain conditions, the subset of elements such that f(1-a) < 1 consists entirely of invertible elements. Part of the assumption of the second theorem is that of Hausdorff sequential Cauchy-completeness of the first ring under the topology induced by the seminorm (which takes values in a partially ordered nonassociative ring endowed with Frink's interval topology). Frink's interval topology is an example of a coarse locally-convex topology. Moreover, to our knowledge, the topology induced by a seminorm into a partially ordered nonassociative ring has never been introduced. Some additional facts, such as the fact that the topology on a nonassociative ring induced by a norm into a totally ordered associative division ring endowed with Frink's interval topology (or equivalently, with the order topology, since the order of is total) is a Hausdorff locally convex quasi-topological group with an additional separate continuity property of the product, are dealt with in the second section ''Preliminaries''
Some remarks on generalized mittag-leffler function
No full text The principal aim of the paper is to establish the function and its properties by using Fractional Calculus. We also obtained some integral representations of the function which is recently introduced by Shukla and Prajapati[6].
Presentación
No full textEntre el 1° y el 5 de agosto de 1983, se llevaron a efecto en Antofagasta, las SEGUNDAS JORNADAS DE MATEMATICAS organizadas por el Departamento de Matemáticas y la Facultad de Ciencias de la Universidad del Norte y la Sociedad Matemática de Chile , con el auspicio de la Comisión Nacional de Investigación Científica y Tecnológica, CONYCIT
Solving Mathematical Model by Using Modified Fractional Differential Transform Method with Adomian polynomials
No full textThe problem of the transmission of a disease in a population believed to have stablesize during the epidemic is addressed in this article. The fractional differential transformtechnique (FDTM) with Adomian polynomials is used to approximate the solution of theproblem’s system of nonlinear fractional differential equations(FDEs). The findings are compared to those produced using the homotopy perturbation approach. Some charts are shownto demonstrate the method’s consistency and simplicity
A Weak solutions for some variational nonlinear elliptic systems with multiple perturbations: Nonlinear elliptic system
No full textThrough Young measure, we handle variational quasilinear elliptic systems in both the divergence and perturbed forms of type in , on . Galerkin's method is utilized to obtain weak solutions within the framework of Sobolev spaces
