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.
引用
收藏
页数：16
相关论文
共 50 条
  • [21] Vertically transmitted babesiosis
    New, DL
    Quinn, JB
    Qureshi, MZ
    Sigler, SJ
    JOURNAL OF PEDIATRICS, 1997, 131 (01): : 163 - 164
  • [22] Spatial Studies on Vector-Transmitted Diseases and Vectors
    Rosa-Freitas, Maria Goreti
    Honorio, Nildimar Alves
    Codeco, Claudia Torres
    LoureiroWerneck, Guilherme
    Degallier, Nicolas
    JOURNAL OF TROPICAL MEDICINE, 2012, 2012
  • [23] THE DYNAMICS OF VECTOR-TRANSMITTED DISEASES IN HUMAN COMMUNITIES
    ROGERS, DJ
    PHILOSOPHICAL TRANSACTIONS OF THE ROYAL SOCIETY B-BIOLOGICAL SCIENCES, 1988, 321 (1207) : 513 - 539
  • [24] Impact of venereal transmission on the dynamics of vertically transmitted viral diseases among mosquitoes
    Nadim, Sk Shahid
    Ghosh, Indrajit
    Martcheva, Maia
    Chattopadhyay, Joydev
    MATHEMATICAL BIOSCIENCES, 2020, 325
  • [25] Stochastic spatial structured model for vertically and horizontally transmitted infection
    Silva, Ana T. C.
    Assis, Vladimir R. V.
    Pinho, Suani T. R.
    Tome, Tania
    de Oliveira, Mario J.
    PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2017, 468 : 131 - 138
  • [26] The development of new intervention strategies for vector-transmitted diseases
    Rodriguez Gutierrez, Maria del Carmen
    SALUD PUBLICA DE MEXICO, 2007, 49 : E255 - E255
  • [27] Prevention of Vector Transmitted Diseases With Clove Oil Insect Repellent
    Shapiro, Rochel
    JOURNAL OF PEDIATRIC NURSING-NURSING CARE OF CHILDREN & FAMILIES, 2012, 27 (04): : 346 - 349
  • [28] Imported vector-transmitted diseases in dogs - part two
    Hillman, Timothy J.
    Shaw, Susan E.
    IRISH VETERINARY JOURNAL, 2010, 63 (06) : 380 - 383
  • [29] A singular perturbation approach to epidemics of vector-transmitted diseases
    Brauer, Fred
    INFECTIOUS DISEASE MODELLING, 2019, 4 : 115 - 123
  • [30] Intelligent Solution for Classification of Diseases Transmitted by Vector Aedes Aegypti
    Braga, Oton
    Albuquerque, Gerson
    Oliveira, Mauro
    Monteiro, Odorico
    PROCEEDINGS OF THE EURO AMERICAN CONFERENCE ON TELEMATICS AND INFORMATION SYSTEMS (EATIS '18), 2018,
12345