Study of Disease Dynamics of Co-infection of Rotavirus and Malaria with Control Strategies

IF 0.5 Q3 MATHEMATICS
I. Ratti, P. Kalra
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引用次数: 0

Abstract

This paper proposes a model that addresses the interaction and dynamics of malaria and rotavirus co-infection. The model incorporates various epidemiological and biological features of both the malaria and rotavirus. The mode of transmission of both the diseases is different as malaria is vector borne disease causing infection through infected arthropod and rotavirus is a contagious virus causing diarrhoea by the inflammation of intestines and stomach. It is being assumed in the model that humans are susceptible to malaria and rotavirus simultaneously. It is further assumed that the recovered population, whether naturally or through treatment is prone to the infection again. The co-infection dynamics of diseases is studied with different control measures in the form of treatments to both human and vector compartments. In order to visualize the effect of diverse control strategies, we studied three models, that is, one, in the absence of malaria disease, second, in the absence of rotavirus disease and third, for co-infection of both the diseases. To understand the dynamics of co-infection, the stability analysis of the full model for disease-free equilibrium and the threshold value, which is, the basic reproduction number is calculated. Bifurcation analysis is performed for full co-infection model along with that of malaria-only model. Both rotavirus-only model and malaria-only models are found to be globally asymptotically stable at disease-free equilibrium. Sensitivity indices have been calculated to study the effect of model parameters on the basic reproduction number. Results are illustrated with numerical simulation.
轮状病毒与疟疾共同感染的疾病动态及控制策略研究
本文提出了一个模型,解决疟疾和轮状病毒共同感染的相互作用和动力学问题。该模型结合了疟疾和轮状病毒的各种流行病学和生物学特征。这两种疾病的传播方式不同,因为疟疾是一种媒介传播的疾病,通过受感染的节肢动物引起感染,而轮状病毒是一种传染性病毒,通过肠胃炎症引起腹泻。该模型假设人类同时对疟疾和轮状病毒敏感。进一步假设,康复人群,无论是自然还是通过治疗,都容易再次感染。采用不同的控制措施,以对人类和媒介区室进行治疗的形式,研究疾病的共同感染动力学。为了可视化不同控制策略的效果,我们研究了三个模型,即一个在没有疟疾的情况下,第二个在没有轮状病毒疾病的情况下和第三个在两种疾病的共同感染下。为了理解共同感染的动力学,计算了无病平衡的全模型的稳定性分析和阈值,即基本繁殖数。对完全共感染模型和仅疟疾模型进行了分叉分析。仅轮状病毒模型和仅疟疾模型在无病平衡下都是全局渐近稳定的。计算了灵敏度指数,研究了模型参数对基本繁殖数的影响。通过数值模拟对结果进行了说明。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
CiteScore
1.10
自引率
20.00%
发文量
0
期刊介绍: The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.
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