Malaria model with immigration of  infectives and seasonal forcing in transmission

Christinah Chiyaka; Godfrey Musuka; Gesham  Magombedze; Zindoga Mukandavire

Malaria model with immigration of infectives and seasonal forcing in transmission

Christinah Chiyaka, Godfrey Musuka, Gesham Magombedze, Zindoga Mukandavire

Research output: Contribution to journal › Article › peer-review

Abstract

A mathematical model of malaria transmission with the inﬂow of infective immi-
grants is presented. The epidemic threshold, existence of equilibria as well as permanence criteria of the model are investigated. The model is extended to incorporate and analyse the eﬀects of seasonality in the transmission rates. Finally numerical analysis is carried out to determine the behaviour of the models under diﬀerent scenarios.

Original language	English
Pages (from-to)	1-16
Number of pages	16
Journal	International Journal of Applied Mathematics and Computation
Volume	2
Issue number	3
Publication status	Published - 2010

Keywords

Immigrants;
Stability
Permanence
Seasonality

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

Cite this

@article{5acf08a57de4435dabf03eccb8c2c7ff,

title = "Malaria model with immigration of infectives and seasonal forcing in transmission",

abstract = "A mathematical model of malaria transmission with the inﬂow of infective immi-grants is presented. The epidemic threshold, existence of equilibria as well as permanence criteria of the model are investigated. The model is extended to incorporate and analyse the eﬀects of seasonality in the transmission rates. Finally numerical analysis is carried out to determine the behaviour of the models under diﬀerent scenarios.",

keywords = "Immigrants;, Stability, Permanence, Seasonality",

author = "Christinah Chiyaka and Godfrey Musuka and Gesham Magombedze and Zindoga Mukandavire",

year = "2010",

language = "English",

volume = "2",

pages = "1--16",

journal = "International Journal of Applied Mathematics and Computation",

issn = "0974-4673",

publisher = "Darbose Prentice Hall",

number = "3",

}

TY - JOUR

T1 - Malaria model with immigration of infectives and seasonal forcing in transmission

AU - Chiyaka, Christinah

AU - Musuka, Godfrey

AU - Magombedze, Gesham

AU - Mukandavire, Zindoga

PY - 2010

Y1 - 2010

N2 - A mathematical model of malaria transmission with the inﬂow of infective immi-grants is presented. The epidemic threshold, existence of equilibria as well as permanence criteria of the model are investigated. The model is extended to incorporate and analyse the eﬀects of seasonality in the transmission rates. Finally numerical analysis is carried out to determine the behaviour of the models under diﬀerent scenarios.

AB - A mathematical model of malaria transmission with the inﬂow of infective immi-grants is presented. The epidemic threshold, existence of equilibria as well as permanence criteria of the model are investigated. The model is extended to incorporate and analyse the eﬀects of seasonality in the transmission rates. Finally numerical analysis is carried out to determine the behaviour of the models under diﬀerent scenarios.

KW - Immigrants;

KW - Stability

KW - Permanence

KW - Seasonality

M3 - Article

SN - 0974-4673

VL - 2

SP - 1

EP - 16

JO - International Journal of Applied Mathematics and Computation

JF - International Journal of Applied Mathematics and Computation

IS - 3

ER -

Malaria model with immigration of infectives and seasonal forcing in transmission

Abstract

Keywords

UN SDGs

Fingerprint

Cite this