Mario Cavani

RESEARCH, TEACHING, or OTHER INTERESTS

General Mathematics, Applied Mathematics, Analysis, Modeling and Simulation

Scopus Publications

A food chain model holling type II with Distributed delay ¹
Mario Cavani, Teodoro Lara, Nelson Merentes, Sael Romero, and Mayrelly Valera
Hikari, Ltd.
In this research we introduce and study, analytic and numerically, a model of chemostat with distributed delay. This a generalization of the model, with no delay, first treated by Kuang. We give conditions for asymptotic stability, survival of species or extinction of them. This research has been partially supported by Central Bank of Venezuela. 2050 Mario Cavani et al. Mathenatics Subject Classification: 34D99, 37D75


Hopf bifurcation for simple food chain model with delay




Global qualitative analysis of the Harrison's predator-prey model




Stable Periodic Orbits for a Predator-Prey Model with Delay
Mario Cavani, Marcos Lizana, and Hal L. Smith
Elsevier BV
Abstract In this paper we consider a predator–prey model with time lag which improves upon that proposed by Cavani and Farkas [1994, Acta Math. Hungar. 63 (3), 213–229]. We show that when the model has exactly one non-trivial unstable and hyperbolic equilibrium there exists a stable periodic orbit.


Bifurcations in a predator-prey model with memory and diffusion II: Turing bifurcation
M. Cavani and M. Farkas
Springer Science and Business Media LLC



Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
M. Cavani and M. Farkas
Springer Science and Business Media LLC

RECENT SCHOLAR PUBLICATIONS

Estimacin de una Vecindad de Una rbita Peridica con el Mtodo de los Promedios Integrales
M Cavani
2024



A SEIR Model With Infection Force Dependent on Infected and Exposed Carriers
M Cavani, T Akhter
Available at SSRN 4809968 2022



A Contribution for an SEIR Model for the Transmission of Covid-19
M Cavani, T Akhter
2022



UN MODELO EPISTEMOLGICO DE REFERENCIA EN TORNO AL PROBLEMA DIDCTICO DEL NUEVO CURRCULO PARA LA FORMACIN DE PROFESORES DE MATEMTICAS EN LA REPBLICA DOMINICANA
M Cavani
Revie - Revista de Investigacin y Evaluacin Educativa 9 (2), 7-28 2022



Contribution to Competing Species Modeling with Distributed Delay.
M Cavani
Ciencia, Ambiente y Clima 5 (1), 85-95 2022



A Note About the Stable Periodic Orbits for a Class of Three-Dimensional Competitive Systems.
M Cavani, T Akhter
2022



Una propuesta para los procesos didcticos en la especialidad de matemtica del nuevo currculo en la Repblica Dominicana en las tres dimensiones
M Cavani
Revie 8 (2), 68-84 2021



A Model for the Transmission of Covid-19 in a Mass Gathering
M Cavani
Journal of Applied Mathematics and Physics 8 (11), 2613-2631 2020



Proceso didctico del lgebra Lineal en las tres dimensiones.
M Cavani
Libro de Actas del Primer Congreso Caribeo de Investigacin Educativa, 833 2020



A Food Chain Model Holling Type II with Distributed Delay
M Cavani, T Lara, N Merentes, S Romero, M Valera
Applied Mathematical Sciences 9 (42), 2049-2060 2015



Hopf bifurcation for simple food chain model with delay.
M Cavani, T Lara, S Romero
Electronic Journal of Differential Equations (EJDE)[electronic only] 2009 2009



GLOBAL QUALITATIVE ANALYSIS OF THE HARRISON’S PREDATOR-PREY MODEL
M Cavani, S Romero
Bol. Soc. Mat. Mexicana (3) 14 2008



A simple food chain model with delay
M Cavani, S Romero
Positive Systems: Proceedings of the First Multidisciplinary International 2004



EXISTENCIA DEL ATRACTOR GLOBAL EN UN MODELO DE CADENA ALIMENTICIA CON RETARDO DISTRIBUIDO EN EL QUIMISTATO
S Romero, M Cavani
SABER 16 (2) 2004



Ecuaciones Diferenciales Ordinarias
M Cavani
V Talleres de Formacin Matemtica 1, 101 2003



Sobre la existencia de atractores en un modelo de competencia con retardos discretos
M Cavani, J Marn
Pro Mathematica 17 (33), 49-60 2003



A class of competing models with discrete delay
J Marn, M Cavani
Equadiff 10, 275-278 2002



Distributed delayed competing predators
M Cavani
Equadiff 10, 77-82 2002



Qualitative properties of a predator-prey model with delay.
J Marn, M Cavani
Divulgaciones Matemticas 9 (2), 123-136 2001



Propiedades cualitativas de un modelo depredador-presa con retardo
J Marın, M Cavani
Divulgaciones Matemticas 9 (2), 123-136 2001

MOST CITED SCHOLAR PUBLICATIONS

Bifurcations in a predator-prey model with memory and diffusion. I: Andronov-Hopf bifurcation
M Cavani, M Farkas
Acta Mathematica Hungarica 63 (3), 213-229 1994
Citations: 52



Bifurcations in a predator-prey model with memory and diffusion II: turing bifurcation
M Cavani, M Farkas
Acta Mathematica Hungarica 63 (4), 375-393 1994
Citations: 42



Stable periodic orbits for a predator–prey model with delay
M Cavani, M Lizana, HL Smith
Journal of mathematical analysis and applications 249 (2), 324-339 2000
Citations: 30



Hopf bifurcation for simple food chain model with delay.
M Cavani, T Lara, S Romero
Electronic Journal of Differential Equations (EJDE)[electronic only] 2009 2009
Citations: 4



Propiedades cualitativas de un modelo depredador-presa con retardo
J Marın, M Cavani
Divulgaciones Matemticas 9 (2), 123-136 2001
Citations: 3



Proceso didctico del lgebra Lineal en las tres dimensiones.
M Cavani
Libro de Actas del Primer Congreso Caribeo de Investigacin Educativa, 833 2020
Citations: 2



Qualitative properties of a predator-prey model with delay.
J Marn, M Cavani
Divulgaciones Matemticas 9 (2), 123-136 2001
Citations: 2



UN MODELO EPISTEMOLGICO DE REFERENCIA EN TORNO AL PROBLEMA DIDCTICO DEL NUEVO CURRCULO PARA LA FORMACIN DE PROFESORES DE MATEMTICAS EN LA REPBLICA DOMINICANA
M Cavani
Revie - Revista de Investigacin y Evaluacin Educativa 9 (2), 7-28 2022
Citations: 1



Una propuesta para los procesos didcticos en la especialidad de matemtica del nuevo currculo en la Repblica Dominicana en las tres dimensiones
M Cavani
Revie 8 (2), 68-84 2021
Citations: 1



Wave train solutions for the duffusive Lotka-Volterra equations with time lag
M Cavani
Colloquia Mathematica, Societatis Jnos Bolyai 53, 83-92 1988
Citations: 1