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Article

Influence of a Modulated Parameter on Hantavirus Infection

by
María Susana Torre
1,
Anais Acquaviva
2,
Jean-Marc Boyer
2 and
Jorge Tredicce
2,3,*
1
Instituto de Física Arroyo Seco (IFAS), Universidad Nacional del Centro de la Provincia de Buenos Aires (UNCPBA), Tandil, Argentina
2
Institut de Sciences Exactes et Appliquées (ISEA), Université de la Nouvelle Calédonie, 98851 Nouméa, Nouvelle Calédonie, France
3
Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Intendente Guiraldes 2160, Ciudad Autónoma de Buenos Aires, Argentina
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2019, 24(3), 68; https://doi.org/10.3390/mca24030068
Submission received: 31 May 2019 / Revised: 8 July 2019 / Accepted: 8 July 2019 / Published: 10 July 2019
(This article belongs to the Special Issue Dynamics Days Latin America and the Caribbean 2018)
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Abstract

We study the dynamical behavior of a model commonly used to describe the infection of mice due to hantavirus (and, therefore, its possibility of propagation into human populations) when a parameter is changed in time. In particular, we study the situation when the ecological conditions (e.g., climate benignity, food availability, and so on) change periodically in time. We show that the density of infected mice increases abruptly as the parameter crosses a critical value. We correlate such a situation with the observed sudden outbreaks of hantavirus. Finally, we discuss the possibility of preventing a hantavirus epidemic.
Keywords: nonlinear dynamics; delay bifurcation; population dynamics nonlinear dynamics; delay bifurcation; population dynamics

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MDPI and ACS Style

Torre, M.S.; Acquaviva, A.; Boyer, J.-M.; Tredicce, J. Influence of a Modulated Parameter on Hantavirus Infection. Math. Comput. Appl. 2019, 24, 68. https://doi.org/10.3390/mca24030068

AMA Style

Torre MS, Acquaviva A, Boyer J-M, Tredicce J. Influence of a Modulated Parameter on Hantavirus Infection. Mathematical and Computational Applications. 2019; 24(3):68. https://doi.org/10.3390/mca24030068

Chicago/Turabian Style

Torre, María Susana, Anais Acquaviva, Jean-Marc Boyer, and Jorge Tredicce. 2019. "Influence of a Modulated Parameter on Hantavirus Infection" Mathematical and Computational Applications 24, no. 3: 68. https://doi.org/10.3390/mca24030068

APA Style

Torre, M. S., Acquaviva, A., Boyer, J.-M., & Tredicce, J. (2019). Influence of a Modulated Parameter on Hantavirus Infection. Mathematical and Computational Applications, 24(3), 68. https://doi.org/10.3390/mca24030068

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