Moment closure methods appear in myriad scientific disciplines in the modelling of complex
systems. The goal is to achieve a closed form of a large, usually even infinite, set of coupled …

Complex networks, comprised of individual elements that interact with each other through
reaction channels, are ubiquitous across many scientific and engineering disciplines …

Over the past decade, the use of networks has led to a new modelling paradigm combining
several branches of science, including physics, mathematics, biology and social sciences …

Empirical records of epidemics reveal that fluctuations are important factors for the spread
and prevalence of infectious diseases. The exact manner in which fluctuations affect …

Compartmental equations are primary tools in the study of disease spreading processes.
They provide accurate predictions for large populations but poor results whenever the …

Using the theory of Lie-Hamilton systems, formal generalized time-dependent Hamiltonian
systems that enlarge a recently proposed SIS epidemic model with a variable infection rate …

Abstract The theory of Lie–Hamilton systems is used to construct generalized time-
dependent SIS epidemic Hamiltonians with a variable infection rate from the'book'Lie …

What is the optimal way to harvest an ecological population sustainably is a fundamental
problem in natural resource management. Here we use the framework of the stochastic …

Accurate prediction of epidemic evolution faces challenges such as understanding disease
dynamics and inadequate epidemiological data. A recent approach faced these issues by …

We consider the problem of transmitting the state value of a dynamical system through a
communication network. The dynamics of the error in state estimation is modeled using a …