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Titolo:
ANALYSIS OF A MODEL FOR MACROPARASITIC INFECTION WITH VARIABLE AGGREGATION AND CLUMPED INFECTIONS
Autore:
PUGLIESE A; ROSA R; DAMAGGIO ML;
Indirizzi:
UNIV TRENT,DIPARTIMENTO MATEMAT,VIA SOMMARIVE 14 I-38050 POVO TN ITALY CTR ECOL ALPINA I-38040 VIOTE MONTE BONDO TN ITALY
Titolo Testata:
Journal of mathematical biology
fascicolo: 5, volume: 36, anno: 1998,
pagine: 419 - 447
SICI:
0303-6812(1998)36:5<419:AOAMFM>2.0.ZU;2-D
Fonte:
ISI
Lingua:
ENG
Soggetto:
HOST; POPULATIONS; STABILITY; DISEASES; PARASITES; DYNAMICS; DISTRIBUTIONS; EPIDEMIC; SYSTEM;
Keywords:
MACROPARASITES; AGGREGATION; MULTIPLE INFECTIONS; SUBCRITICAL BIFURCATIONS;
Tipo documento:
Article
Natura:
Periodico
Settore Disciplinare:
CompuMath Citation Index
Science Citation Index Expanded
Science Citation Index Expanded
Citazioni:
35
Recensione:
Indirizzi per estratti:
Citazione:
A. Pugliese et al., "ANALYSIS OF A MODEL FOR MACROPARASITIC INFECTION WITH VARIABLE AGGREGATION AND CLUMPED INFECTIONS", Journal of mathematical biology, 36(5), 1998, pp. 419-447

Abstract

A model for macroparasitic infection with variable aggregation is considered. The starting point is an immigration-and-death process for parasites within a host, as in [3]; it is assumed however that infections will normally occur with several larvae at the same time. Starting from here, a four-dimensional, where free-living larvae are explicitly considered, and a three-dimensional model are obtained with same methods used in [26]. The equilibria of these models are found, their stability is discussed, as well as some qualitative features. It has been found that the assumption of ''clumped'' infections may have dramatic effects on the aggregation exhibited by these models. Infections with several larvae at the same time also increases the stability of the endemic equilibria of these models, and makes the occurrence of subcritical bifurcations (and consequently multiple equilibria) slightly more likely. The results of the low-dimensional model have also been compared to numerical simulations of the infinite system that describes the immigration-and-death process. It appears that the results of the systems are, by and large, in close correspondence, except for a parameter region where the four-dimensional model exhibits unusual properties, such as the occurrence of multiple disease-free equilibria, that do notappear to be shared by the infinite system.

ASDD Area Sistemi Dipartimentali e Documentali, Università di Bologna, Catalogo delle riviste ed altri periodici
Documento generato il 27/11/20 alle ore 21:57:12