Sarinah Banu Mohamed Siddik
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Sarinah Banu Mohamed Siddik
Official Name
Sarinah Banu, Mohamed Siddik
Alternative Name
Siddik, Sarinah Banu Mohamed
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Scopus Author ID
57202916784

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Mathematical analysis of the transmission dynamics for malaria in individuals with varying levels of risk

2025-01 , Gekonga Wanchoke Chacha , Sarinah Banu Mohamed Siddik , Fatmawati

Malaria continues to be a critical global health issue due to its profound impact on human development. This study explores the dynamics of malaria transmission within a population exhibiting multiple human susceptibilities, which arise from behavioral, locational, and occupational factors. We have formulated a nonlinear, time-dependent differential equation model to capture these dynamics. The model distinguishes between low- and high-risk susceptible human populations, offering a detailed analysis of malaria transmission patterns. We calculated the basic reproduction number R0, along with the disease-free equilibrium (DFE) and endemic equilibrium (EE) points. The DFE is locally asymptotically stable when R0<1, while the EE is globally asymptotically stable when R0>1. Additionally, the model exhibits a backward bifurcation. Moreover, we have graphically illustrated the impact of multiple human susceptibilities. These effects become more evident over time: as the proportion of highly susceptible individuals within the population increases, the overall transmission rate rises accordingly. Furthermore, the mosquito-human contact rate and the mosquito death rate have exhibited effects consistent with our expectations.

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Malaria dynamics of transmission for individuals with multi-layered susceptibility

2025-03 , G. W. Chacha , Sarinah Banu Mohamed Siddik , Fatmawati

The alarming prevalence of vector-borne diseases, such as malaria, has long been a global concern due to their ability to infect individuals across all social classes, thus leading to high morbidity and mortality rates. This study investigates the role of mosquito bites frequency in dynamics of transmission of malaria. Mainly, featuring the mathematical classification of susceptible individuals into high and low risk. The present study employs a time-dependent, social hierarchy-structured deterministic model to analyse the vulnerability of multi-layered classes to the transmission dynamics of malaria disease. This analysis takes into account the interaction between the human population and the mosquito vector population. Human infection statuses are divided into four categories: susceptible, infected, and recovered individuals, with further stratification of susceptible individuals based on their risk level. Concurrently, the total vector population is divided into susceptible and infected mosquitoes. The disease free equilibrium, basic reproduction number and endemic equilibrium were computed. The findings show that the higher the number susceptible humans subjected to high risk the higher number of infected human individuals.

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