Modelling and simulation of a schistosomiasis infection with biological control

Modeling the Dynamics and Control of Transmission of Schistosoma japonicum and S. mekongi in Southeast Asia

“…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.…”

“…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.…”

Deterministic and Stochastic Schistosomiasis Models with General Incidence

“…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.…”

Analysis of the effectiveness of control measures against Schistosoma mekongi using an intra- and inter-village model in Champasak Province, Lao PDR

“…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].…”