DENGUE MODEL WITH EARLY-LIFE STAGE OF VECTORS AND AGE-STRUCTURE WITHIN HOST

We construct an epidemic model for the transmission of dengue fever with an early-life stage in the vector dynamics and age-structure within hosts. The early-life stage of the vector is modeled via a general function that supports multiple vector densities. The basic reproductive number and vector demographic threshold are computed to study the local and global stability of the infection-free state. A numerical framework is implemented and simulations are performed.

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SVIR epidemic model with age structure in susceptibility, vaccination effects and relapse

IMA Journal of Applied Mathematics ◽

10.1093/imamat/hxx020 ◽

2017 ◽

Vol 82 (5) ◽

pp. 945-970 ◽

Cited By ~ 3

Author(s):

Jinliang Wang ◽

Min Guo ◽

Shengqiang Liu

Keyword(s):

Age Structure ◽

Epidemic Model ◽

Lyapunov Functional ◽

Basic Reproductive Number ◽

Reproductive Number ◽

Combined Effects ◽

Asymptotically Stable ◽

Globally Asymptotically Stable ◽

The Stability ◽

Disease Free

Abstract An SVIR epidemic model with continuous age structure in the susceptibility, vaccination effects and relapse is proposed. The asymptotic smoothness, existence of a global attractor, the stability of equilibria and persistence are addressed. It is shown that if the basic reproductive number $\Re_0<1$, then the disease-free equilibrium is globally asymptotically stable. If $\Re_0>1$, the disease is uniformly persistent, and a Lyapunov functional is used to show that the unique endemic equilibrium is globally asymptotically stable. Combined effects of susceptibility age, vaccination age and relapse age on the basic reproductive number are discussed.

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Water quality. Calanoid copepod early-life stage test with A c a r t i a t o n s a

10.3403/30244109u ◽

2015 ◽

Keyword(s):

Water Quality ◽

Early Life ◽

Calanoid Copepod ◽

Life Stage ◽

Early Life Stage

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Allometric growth and ontogenetic changes in nucleic acids and digestive enzymes during the early life stage in fish species: A review

Journal of Fishery Sciences of China ◽

10.3724/sp.j.1118.2017.16210 ◽

2017 ◽

Vol 24 (3) ◽

pp. 648 ◽

Cited By ~ 2

Author(s):

Yunlong ZHANG ◽

Hailong ZHANG ◽

Lingyu WANG ◽

Beiyi GU ◽

Qixue FAN

Keyword(s):

Nucleic Acids ◽

Fish Species ◽

Early Life ◽

Digestive Enzymes ◽

Life Stage ◽

Early Life Stage ◽

Allometric Growth ◽

Ontogenetic Changes

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Huanglongbing Model under the Control Strategy of Discontinuous Removal of Infected Trees

Symmetry ◽

10.3390/sym13071164 ◽

2021 ◽

Vol 13 (7) ◽

pp. 1164

Author(s):

Weiwei Ling ◽

Pinxia Wu ◽

Xiumei Li ◽

Liangjin Xie

Keyword(s):

Infectious Disease ◽

Global Stability ◽

Control Strategy ◽

Theoretical Basis ◽

Dynamic Properties ◽

Transmission Mechanism ◽

Basic Reproductive Number ◽

Reproductive Number ◽

Vector Borne ◽

Citrus Trees

By using differential equations with discontinuous right-hand sides, a dynamic model for vector-borne infectious disease under the discontinuous removal of infected trees was established after understanding the transmission mechanism of Huanglongbing (HLB) disease in citrus trees. Through calculation, the basic reproductive number of the model can be attained and the properties of the model are discussed. On this basis, the existence and global stability of the calculated equilibria are verified. Moreover, it was found that different I0 in the control strategy cannot change the dynamic properties of HLB disease. However, the lower the value of I0, the fewer HLB-infected citrus trees, which provides a theoretical basis for controlling HLB disease and reducing expenditure.

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