Mathematical modeling and analysis of schistosomiasis transmission dynamics

Abstract

Schistosomiasis is a parasitic disease from the family of Schistosomatidae and genus Schistosoma, which is caused by blood flukes. The disease is endemic in many countries and still a serious threat to global public health and development. In this paper, a new deterministic model is designed and analyzed qualitatively to explore the dynamics of schistosomiasis transmission in human, cattle and snail populations. Results from our mathematical analysis show that the model has a disease-free equilibrium (DFE) which is locally asymptotically stable (LAS) whenever a particular epidemiological threshold quantity, also known as basic reproduction number ([Formula: see text]) is less than unity. Further analysis shows that the model has a unique endemic equilibrium (EE) which is globally asymptotically stable whenever [Formula: see text] and unstable when [Formula: see text]. Furthermore, We adopt partial rank correlation coefficient for sensitivity analysis to reveal the most important parameters for effective control and mitigation of schistosomiasis disease in a community. Finally, we obtain some numerical results by simulating the entire dynamics of the model, which show that the infections in the compartments of each population decrease with respect to time. This further indicates that avoiding contact with infected human, cattle or infested water is vital to prevent the spread of schistosomiasis disease infection.

Transmission dynamics of COVID-19 pandemic with combined effects of relapse, reinfection and environmental contribution: A modeling analysis

“…The prevalence of SARS-CoV-2 can be evaluated using a threshold quantity, also known as the basic reproduction number, , which is obtained following the next-generation matrix technique (see eqn (5) ). It constitutes the number of secondary COVID cases that a typical primary case would cause (i.e., by an infected person or through contact with a pathogen infested material) during the infectious period in a wholly susceptible population [54] , [55] , [56] , [57] , [58] , [59] , [60] , [61] .…”