Permanence of a regime-switching malaria transmission model

Chunyan Ji

Physica A: Statistical Mechanics and its Applications, 2019, vol. 523, issue C, 222-233

Abstract: Malaria transmission is a complex system, and lots of malaria transmission models have been showed by determined differential equations. Considering that variability of the environment may have an important impact on its transmission, we introduce the regime-switching to a malaria transmission model with susceptible–infectious–recovered–susceptible (SIRS) structure for human population and susceptible–infectious (SI) structure for mosquito population. First, we show the existence of positive solutions for the model. Then, the dynamics of the model is carried out. By constructing a suitable Lyapunov function, we show that there exists a stationary distribution, and so the threshold for the disease to prevail is given. At last an example with two states is given to illustrate the results.

Keywords: Malaria; Regime-switching diffusion; Stationary distribution; Threshold (search for similar items in EconPapers)
Date: 2019
References: View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:523:y:2019:i:c:p:222-233

DOI: 10.1016/j.physa.2019.02.027

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