TY - JOUR AU - Campoamor Stursberg, Otto-Rudwig AU - Fernández Saiz, Eduardo AU - Herranz, Francisco J. PY - 2023 DO - 10.3934/math.20231225 UR - https://hdl.handle.net/20.500.14352/87613 T2 - AIMS Mathematics AB - Using the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian systems that extend a recently proposed SIS epidemic model with a variable infection rate are considered. It is shown that, independently on the particular... LA - eng M2 - 24025 PB - AIMS Press KW - Lie systems KW - Lie-Hamilton systems KW - Nonlinear differential equations KW - Nonlinear superposition rules KW - SIS models KW - Exact solutions TI - Exact solutions and superposition rules for Hamiltonian systems generalizing time-dependent SIS epidemic models with stochastic fluctuations TY - journal article VL - 8 ER -