Mathematical analysis of a novel Japanese encephalitis fractional model

Scoping review of Japanese encephalitis virus transmission models

“…Fifteen of the models aimed to draw general conclusions about JEV transmission dynamics, such as determining equilibrium points or reproductive numbers, and in some cases, conducting stability or sensitivity analyses related to these measures (Baniya and Keval 2021a, 2021c, 2020bDe et al 2016;Diallo et al 2018;Dwivedi, Keval, and Baniya 2022;Ghassabzade and Bagherpoorfard 2021;Ghosh and Tapaswi 1999;Goswami 2022;Kalita andDevi 2020a, 2020b;Mukhopadhyay and Tapaswi 1994;Panja, Mondal, and Chattopadhyay 2016;Tapaswi, Ghosh, and Mukhopadhyay 1995;Wada 1975). Eight models investigated the impact of various factors influencing host and vector species on the risk of JE in humans Keval 2020a, 2021b;Ladreyt, Chevalier, and Durand 2022;Ladreyt et al 2023;Naresh and Pandey 2009;Ndaïrou, Area, and Torres 2020;Sota and Mogi 1989;Zahid and Kribs 2021).…”

“…Of these, two were implemented using continuous time, ordinary differential equations (Riad et al 2017a;Zhao et al 2018) and two were implemented using discrete time, difference equations (Riad et al 2017b(Riad et al , 2019. The remaining three models were statistically converted models: two models were converted from deterministic to stochastic using geometric Brownian motion (Kalita andDevi 2020a, 2020b) and one converted a deterministic model implemented with ordinary differential equations to a deterministic fractional-order model (Ghassabzade and Bagherpoorfard 2021).…”

“…Weather variations influenced parameters in five models, leading to changes in vector population size (Ladreyt, Chevalier, and Durand 2022;Panja, Mondal, and Chattopadhyay 2016;Riad et al 2017a;Riad et al 2019;Zhao et al 2018). Human-induced "environmental discharges" influenced parameters in three models, resulting in changes to the vector population size (Ghassabzade and Bagherpoorfard 2021;Naresh and Pandey 2009;Ndaïrou, Area, and Torres 2020) whilst the parameters of one model allowed for the vector population size to vary by geographic location (Riad et al 2017a).…”

“…Three models were influenced by human-induced "environmental discharges", similar to those impacting the vector population, which consequently led to changes in the animal-reservoir population size (Ghassabzade and Bagherpoorfard 2021;Naresh and Pandey 2009;Ndaïrou, Area, and Torres 2020). Furthermore, the parameters of one model varied based on the species and abundance of animals (birds), influenced by geographic location and time of year (Riad et al 2017a).…”