Logo Lanfrica
  • Home
  • Atlas
  • Insights
  • Docs
  • Sign in

© 2026 Lanfrica. All rights reserved. All copyrights of the resources shown on the Lanfrica website belong to the original copyright holders, unless explicitly stated otherwise.

Formulation of a vector SIS malaria model in a patchy environment with two age classes

Domain:

healthcare

Record type:

paper
Creator:
WaiSalOga
Editor:
SchTooIns
Publisher:
CCSDSci
Host:avatar
International audience We formulate an SIS model describing transmission of highland malaria in Western Kenya. The host population is classified as children, age 1-5 years and adults, above 5 years. The susceptibili-ty and infectivity of an individual depend on age class and residence. The large scale system with 6n equations is reduced into a compact form of 3n equations by a change of variables. Then 3n equations are vectorialized using the matrix theory to get a one dimension, compact form of the system, equation in n 3  . Using Vidyasagar theorem [1], the graph of the reduced system is shown to be strongly connected and the system is a monotone dynamical system. This means that circula-tion of malaria parasites among the species and among the patches is strongly connected, hence transmission is sustained. We show that for the n-dimensional age structured system the positive orthant is positively invariant for all positive values of the variables.

Visit

inria.hal.science

Tags

Monotone Dynamical SystemsAge StructureHighland MalariaDifferentiated Susceptibility and Infectivity[MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS][SDV.SPEE]Life Sciences [q-bio]/Santé publique et épidémiologie

Licenses

info:eu-repo/semantics/OpenAccess

Similar

<p>Supplementary Results SIS-Model.</p>Radiation with reticulation marks the origin of a major malaria vectorMalaria Transmission and Vector Resistance to Insecticides in a Changing Environment: Case of Simbock in Yaoundé-City, CameroonDynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic ClassesA Subnational Age-Structured Mathematical Model of Malaria Transmission and BurdenManaging Malaria in Pregnancy Policy Interventions in A Challenging Environment: an Ethnographic Study of two Ghanaian Administrative Regions

<p>Supplementary Results SIS-Model.</p>

Global pandemics, such as the recent COVID-19 crisis, highlight the need for stochastic epid

Radiation with reticulation marks the origin of a major malaria vector

International audience Advances in genomics have led to an appreciation that introgre

Malaria Transmission and Vector Resistance to Insecticides in a Changing Environment: Case of Simbock in Yaoundé-City, Cameroon

Ecological upheavals resulting from uncontrolled urbanization can lead to significant changes in vec

Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes

Lassa fever is an animal-borne acute viral illness caused by Lassa virus. It poses a serious health

A Subnational Age-Structured Mathematical Model of Malaria Transmission and Burden

Malaria transmission and burden exhibit substantial spatial and age-related heterogeneity that is of

Managing Malaria in Pregnancy Policy Interventions in A Challenging Environment: an Ethnographic Study of two Ghanaian Administrative Regions

Abstract Background: Malaria in pregnancy (MiP) is an important public health problem ac