Mathematical Analysis of a Two-Strain Host-Vector Dengue Model with Vertical Transmission

被引：0
作者：
Choinski, Marcin
Renclawowicz, Joanna [1 ,2 ]
Skwara, Urszula [3 ]
机构：
[1] Warsaw Univ Life Sci, Warsaw, Poland
[2] Polish Acad Sci, Warsaw, Poland
[3] Univ Warsaw, Warsaw, Poland
来源：
NONLINEAR DYNAMICS PSYCHOLOGY AND LIFE SCIENCES | 2025年 / 29卷 / 02期
关键词：
dengue model; vertical transmission; disease-free equilibrium; endemic equilibrium; local stability of solutions; DISEASE TRANSMISSION; HEMORRHAGIC-FEVER; DYNAMICS; SEASONALITY;
D O I：
暂无
中图分类号：
O1 [数学]; C [社会科学总论];
学科分类号：
03 ; 0303 ; 0701 ; 070101 ;
摘要：
In this article we model two-strain dynamics of dengue transmission both mosquitoes and humans with vertical transmission to larvae in the mosquito population. We include secondary infections, causing a severe form of disease. Mathematical analysis of proposed model is conducted-we study existence and local stability of equilibria of the system. While analysing the model, unusual properties emerged which lead us to implement its simplifications and obtain different results. Theoretical outcomes are accomplished with numerical simulations. They suggest that vertical transmission has a negligible impact the dengue spread.
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收藏
页码：215 / 255
页数：41
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