An outbreak of the COVID-19 pandemic is a major public health disease as well as a
challenging task to people with comorbidity worldwide. According to a report, comorbidity …

Transmission of infectious diseases between immobile hosts (eg, plants, farms) is strongly
dependent on the spatial distribution of hosts and the distance-dependent probability of …

Stochastic epidemic models which incorporate interactions between space and human
mobility are a key tool to inform prioritisation of outbreak control to appropriate locations …

Partial differential equations (PDEs) arise naturally in a wide variety of scientific areas and
applications, and their numerical solutions are highly indispensable in many cases. Typical …

Numerical models for simulating outbreaks of infectious diseases are powerful tools for
informing surveillance and control strategy decisions. However, large-scale spatially explicit …

We study normal approximations for a class of discrete-time occupancy processes, namely,
Markov chains with transition kernels of product Bernoulli form. This class encompasses …

Spatially explicit livestock disease models require demographic data for individual farms or
premises. In the US, demographic data are only available aggregated at county or coarser …

Surveying multiple invasive pest species at the same time can help reduce the cost of
detecting new pest invasions. In this paper, we describe a new method for mapping the …

Tau leaping is a popular method for performing fast approximate simulation of certain
continuous time Markov chain models typically found in chemistry and biochemistry. This …

Foot-and-mouth disease (FMD) is a highly infectious disease affecting cloven-hoofed
ruminants. FMD is endemic across Asia, Africa and South America and, as demonstrated by …