“…Macdonald [5] first proposed a mathematical model for Schistosoma transmission, and thereafter a number of mathematical models for Schistosoma transmission have been published, mainly from the theoretical point of view [5][6][7][8]. Anderson and May [22] studied the prevalence of snail infection based on empirical evidence.…”
Section: Mathematical Models Of Schistosoma Transmissionmentioning
confidence: 99%
“…Therefore, a mathematical model for Schistosoma transmission could be useful for estimating its prevalence, and model simulations can be instrumental in managing various control strategies. There have been many studies involving the mathematical modeling of transmission for S. japonicum since 1965 [4][5][6][7][8][9][10][11][12], while there have been only 2 studies on mathematical modeling of the transmission of S. mekongi [13,14]. This review focuses on the epidemiological and environmental factors in S. japonicum and S. mekongi infections and the recent advances in mathematical models of Schistosoma transmission.…”
A mathematical model for transmission of schistosomes is useful to predict effects of various control measures on suppression of these parasites. This review focuses on epidemiological and environmental factors in Schistosoma japonicum and Schistosoma mekongi infections and recent advances in mathematical models of Schistosoma transmission.
“…Macdonald [5] first proposed a mathematical model for Schistosoma transmission, and thereafter a number of mathematical models for Schistosoma transmission have been published, mainly from the theoretical point of view [5][6][7][8]. Anderson and May [22] studied the prevalence of snail infection based on empirical evidence.…”
Section: Mathematical Models Of Schistosoma Transmissionmentioning
confidence: 99%
“…Therefore, a mathematical model for Schistosoma transmission could be useful for estimating its prevalence, and model simulations can be instrumental in managing various control strategies. There have been many studies involving the mathematical modeling of transmission for S. japonicum since 1965 [4][5][6][7][8][9][10][11][12], while there have been only 2 studies on mathematical modeling of the transmission of S. mekongi [13,14]. This review focuses on the epidemiological and environmental factors in S. japonicum and S. mekongi infections and the recent advances in mathematical models of Schistosoma transmission.…”
A mathematical model for transmission of schistosomes is useful to predict effects of various control measures on suppression of these parasites. This review focuses on epidemiological and environmental factors in Schistosoma japonicum and Schistosoma mekongi infections and recent advances in mathematical models of Schistosoma transmission.
“…Several mathematical models for schistosomiasis disease have been done ( [4][5][6][7][8][9][10][11][12][13][14][15] and the references therein). Stochastic differential equation (SDE) model is a natural generalization of ordinary differential equation (ODE) model.…”
In this paper, deterministic and stochastic models for schistosomiasis involving four sub-populations are developed. Conditions are given under which system exhibits thresholds behavior. The disease-free equilibrium is globally asymptotically stable if and the unique endemic equilibrium is globally asymptotically stable when . The populations are computationally simulated under various conditions. Comparisons are made between the deterministic and the stochastic model.
“…A mathematical model for schistosome transmission was first developed in 1965 [11], and many models have been suggested since then [12][13][14][15][16]. Chan and Bundy proposed a mathematical model of schistosomiasis mansoni transmission with age structure to observe the effect of control measures on the morbidity of inhabitants in the long-term [17].…”
Schistosomiasis mekongi is prevalent in the Khong district of Lao PDR, made up of one big island, Khong, and numerous small islands in the Mekong River.
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