General Mathematics, Applied Mathematics, Analysis, Modeling and Simulation
6
Scopus Publications
169
Scholar Citations
5
Scholar h-index
3
Scholar i10-index
Scopus Publications
A food chain model holling type II with Distributed delay 1 Mario Cavani, Teodoro Lara, Nelson Merentes, Sael Romero, Mayrelly Valera Applied Mathematical Sciences, 2015 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 Electronic Journal of Differential Equations, 2009
Global qualitative analysis of the Harrison's predator-prey model Boletin De La Sociedad Matematica Mexicana, 2008
Stable Periodic Orbits for a Predator-Prey Model with Delay Mario Cavani, Marcos Lizana, Hal L. Smith Journal of Mathematical Analysis and Applications, 2000 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.
A Microeconomic Finance Model with a Multi-Asset Market and a Multi-Investor Heterogeneous Groups M Cavani arXiv preprint arXiv:2604.15220 , 2026 2026
Stability and inclusion in a Delayed Wage-Competition Model in a Resilient Economy T Akhter, M Cavani Available at SSRN 6116666 , 2026 2026
A Method to Estimate a Neighborhood of a Periodic Orbit M Cavani arXiv preprint arXiv:2504.03788 , 2025 2025
Sobre un recorrido de estudio e investigación del álgebra lineal necesaria para reducir la dimensionalidad con Machine Learning M Cavani Revie-Revista de Investigación y Evaluación Educativa 12 (1), 27-47 , 2025 2025 Citations: 1
Estimación de una Vecindad de Una Órbita Periódica con el Método 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 2022
A Contribution for an SEIR Model for the Transmission of Covid-19 M Cavani, T Akhter 2022
UN MODELO EPISTEMOLÓGICO DE REFERENCIA EN TORNO AL PROBLEMA DIDÁCTICO DEL NUEVO CURRÍCULO PARA LA FORMACIÓN DE PROFESORES DE MATEMÁTICAS EN LA REPÚBLICA DOMINICANA M Cavani Revie - Revista de Investigación y Evaluación Educativa 9 (2), 7-28 , 2022 2022 Citations: 5
Contribution to Competing Species Modeling with Distributed Delay. M Cavani Ciencia, Ambiente y Clima 5 (1), 85-95 , 2022 2022
A Note About the Stable Periodic Orbits for a Class of Three-Dimensional Competitive Systems. M Cavani, T Akhter Available at SSRN 4809883 , 2022 2022 Citations: 2
Una propuesta para los procesos didácticos en la especialidad de matemática del nuevo currículo en la República Dominicana en las tres dimensiones M Cavani Revie 8 (2), 68-84 , 2021 2021 Citations: 7
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 2020 Citations: 4
Proceso didáctico del Álgebra Lineal en las tres dimensiones. M Cavani Libro de Actas del Primer Congreso Caribeño de Investigación Educativa, 833 … , 2020 2020 Citations: 3
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 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 2009 Citations: 4
GLOBAL QUALITATIVE ANALYSIS OF THE HARRISON’S PREDATOR-PREY MODEL M Cavani, S Romero Bol. Soc. Mat. Mexicana (3) 14 , 2008 2008
A simple food chain model with delay M Cavani, S Romero Positive Systems: Proceedings of the First Multidisciplinary International … , 2004 2004
EXISTENCIA DEL ATRACTOR GLOBAL EN UN MODELO DE CADENA ALIMENTICIA CON RETARDO DISTRIBUIDO EN EL QUIMIÓSTATO S Romero, M Cavani SABER 16 (2) , 2004 2004
Ecuaciones Diferenciales Ordinarias M Cavani V Talleres de Formación Matemática 1, 101 , 2003 2003 Citations: 1
Sobre la existencia de atractores en un modelo de competencia con retardos discretos M Cavani, J Marín Pro Mathematica 17 (33), 49-60 , 2003 2003
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 1994 Citations: 56
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 1994 Citations: 43
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 2000 Citations: 31
Una propuesta para los procesos didácticos en la especialidad de matemática del nuevo currículo en la República Dominicana en las tres dimensiones M Cavani Revie 8 (2), 68-84 , 2021 2021 Citations: 7
UN MODELO EPISTEMOLÓGICO DE REFERENCIA EN TORNO AL PROBLEMA DIDÁCTICO DEL NUEVO CURRÍCULO PARA LA FORMACIÓN DE PROFESORES DE MATEMÁTICAS EN LA REPÚBLICA DOMINICANA M Cavani Revie - Revista de Investigación y Evaluación Educativa 9 (2), 7-28 , 2022 2022 Citations: 5
Comportamiento asintótico y unicidad de un ciclo lımite en un sistema depredador presa M Cavani Tesis de Maestrıa, UDO-Sucre , 1983 1983 Citations: 5
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 2020 Citations: 4
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 2009 Citations: 4
Propiedades cualitativas de un modelo depredador-presa con retardo J Marın, M Cavani Divulgaciones Matemáticas 9 (2), 123-136 , 2001 2001 Citations: 4
Proceso didáctico del Álgebra Lineal en las tres dimensiones. M Cavani Libro de Actas del Primer Congreso Caribeño de Investigación Educativa, 833 … , 2020 2020 Citations: 3
A Note About the Stable Periodic Orbits for a Class of Three-Dimensional Competitive Systems. M Cavani, T Akhter Available at SSRN 4809883 , 2022 2022 Citations: 2
Qualitative properties of a predator-prey model with delay. J Marín, M Cavani Divulgaciones Matemáticas 9 (2), 123-136 , 2001 2001 Citations: 2
Sobre un recorrido de estudio e investigación del álgebra lineal necesaria para reducir la dimensionalidad con Machine Learning M Cavani Revie-Revista de Investigación y Evaluación Educativa 12 (1), 27-47 , 2025 2025 Citations: 1
Ecuaciones Diferenciales Ordinarias M Cavani V Talleres de Formación Matemática 1, 101 , 2003 2003 Citations: 1
Wave train solutions for the duffusive Lotka-Volterra equations with time lag M Cavani Colloquia Mathematica, Societatis János Bolyai 53, 83-92 , 1988 1988 Citations: 1
A Microeconomic Finance Model with a Multi-Asset Market and a Multi-Investor Heterogeneous Groups M Cavani arXiv preprint arXiv:2604.15220 , 2026 2026
Stability and inclusion in a Delayed Wage-Competition Model in a Resilient Economy T Akhter, M Cavani Available at SSRN 6116666 , 2026 2026
A Method to Estimate a Neighborhood of a Periodic Orbit M Cavani arXiv preprint arXiv:2504.03788 , 2025 2025
Estimación de una Vecindad de Una Órbita Periódica con el Método 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 2022
