Mathematical model for malaria with mosquito-dependent coefficient for human population with exposed class

被引：2

作者：

Singh, Ram ^{[1
]}

Ali, Shoket ^{[2
]}

Jain, Madhu ^{[3
]}

Raina, Ather Aziz ^{[4
]}

机构：

[1] Baba Ghulam Shah Badshah Univ, Dept Math Sci, Rajouri, India

[2] Lovely Profess Univ, Dept Math, Jalandhar, Punjab, India

[3] Indian Inst Technol Roorkee, Dept Math, Roorkee, Uttar Pradesh, India

[4] Govt Postgrad Coll, Dept Math, Rajouri, India

来源：

JOURNAL OF THE NATIONAL SCIENCE FOUNDATION OF SRI LANKA | 2019年 / 47卷 / 02期

关键词：

Human and vector population; stability analysis; transmission dynamics; ENDEMIC MALARIA; TRANSMISSION; DYNAMICS;

D O I：

10.4038/jnsfsr.v47i2.9160

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：

In this paper, a SEIR (Susceptible, Exposed, Infectious and Recovered) mathematical model of transmission dynamics of malaria was proposed. In the model, mosquito population acts as the vector population and depends upon the human population for its growth and survival. It was shown that the environmental factors are conducive to the spread of malaria disease. It was also found that effective control programming against the spread of malaria is helpful in reducing the transmission dynamics of the disease. Sensitivity analysis was performed to show that spraying of pesticides and proper drainage system will effectively control the disease.

引用

页码：185 / 198

页数：14

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