A MATHEMATICAL MODEL OF VERTICALLY TRANSMITTED VECTOR DISEASES

被引：1
|
作者：
Lupica, Antonella [1 ,2 ]
Palumbo, Annunziata [2 ]
机构：
[1] Univ Catania, Dipartimento Matemat & Informat, Vle A Doria 6, I-95125 Catania, Italy
[2] Univ Messina, Dipartimento Sci Matemat & Informat Sci Fis & Sci, Vle F DAlcontres 31, I-98166 Messina, Italy
来源：
ATTI ACCADEMIA PELORITANA DEI PERICOLANTI-CLASSE DI SCIENZE FISICHE MATEMATICHE E NATURALI | 2018年 / 96卷
关键词：
D O I：
10.1478/AAPP.96S3A11
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
A mathematical model of vector-borne infectious diseases is presented, which takes into account the local interactions between reservoirs and vectors, as well as the transmission from vectors to dilution hosts. In the model, vectors possess the ability to keep the virus within their own population through vertical transmission. The existence and the stability of disease free and endemic equilibria, together with the existence of backward bifurcation, are discussed.
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页数：16
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