A General Discrete Time Model of Population Dynamics in the Presence of an Infection
We present a set of difference equations which generalizes that proposed in the work of G. Izzo and A. Vecchio (2007) and represents the discrete counterpart of a larger class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of...
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| Format: | Article |
| Language: | English |
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Wiley
2009-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2009/143019 |
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| _version_ | 1832556701120724992 |
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| author | Giuseppe Izzo Yoshiaki Muroya Antonia Vecchio |
| author_facet | Giuseppe Izzo Yoshiaki Muroya Antonia Vecchio |
| author_sort | Giuseppe Izzo |
| collection | DOAJ |
| description | We present a set of difference equations which generalizes that proposed in the work of G. Izzo and A. Vecchio (2007) and represents the discrete counterpart of a larger class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of this new discrete model is studied and a threshold parameter playing the role of the basic reproduction number is derived. |
| format | Article |
| id | doaj-art-ad81622c794b4fc099dc9788fc44f443 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2009-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-ad81622c794b4fc099dc9788fc44f4432025-02-03T05:44:41ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2009-01-01200910.1155/2009/143019143019A General Discrete Time Model of Population Dynamics in the Presence of an InfectionGiuseppe Izzo0Yoshiaki Muroya1Antonia Vecchio2Department of Mathematics and Applications “R. Caccioppoli“, University of Naples “Federico II“, Via Cintia, Monte S. Angelo, 80126 Napoli, ItalyDepartment of Mathematical Sciences, Waseda University, 3-4-1 Ohkubo Shinjuku-ku, Tokyo 169-8555, JapanIstituto per le Applicazioni del Calcolo “M. Picone”, Via P. Castellino, 111, 80131 Napoli, ItalyWe present a set of difference equations which generalizes that proposed in the work of G. Izzo and A. Vecchio (2007) and represents the discrete counterpart of a larger class of continuous model concerning the dynamics of an infection in an organism or in a host population. The limiting behavior of this new discrete model is studied and a threshold parameter playing the role of the basic reproduction number is derived.http://dx.doi.org/10.1155/2009/143019 |
| spellingShingle | Giuseppe Izzo Yoshiaki Muroya Antonia Vecchio A General Discrete Time Model of Population Dynamics in the Presence of an Infection Discrete Dynamics in Nature and Society |
| title | A General Discrete Time Model of Population Dynamics in the Presence of an Infection |
| title_full | A General Discrete Time Model of Population Dynamics in the Presence of an Infection |
| title_fullStr | A General Discrete Time Model of Population Dynamics in the Presence of an Infection |
| title_full_unstemmed | A General Discrete Time Model of Population Dynamics in the Presence of an Infection |
| title_short | A General Discrete Time Model of Population Dynamics in the Presence of an Infection |
| title_sort | general discrete time model of population dynamics in the presence of an infection |
| url | http://dx.doi.org/10.1155/2009/143019 |
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