Emerging infectious diseases (EIDs) are spread by direct and/or indirect contacts between a
pathogen or parasite and their hosts. Arthropod vectors have evolved as excellent …

This book is an introductory text to the methods and tools that are nowadays widely used
and accepted in the mathematical epidemiology literature. It is intended to start from a …

Since there exist extrinsic and intrinsic incubation periods of pathogens in the feedback
interactions between the vectors and hosts, it is necessary to consider the incubation delays …

Many plant diseases are caused by plant viruses that are often transmitted to plants by
vectors. For instance, the cassava mosaic disease, which is spread by whiteflies, has a …

A multi-strain model of a vector-borne disease with distributed delay in the vector and the
host is investigated. It is shown that if the reproduction number of the model ℛ0< 1, the …

Tick-borne encephalitis (TBE) is peculiar due to its unstable dynamics with profound inter-
annual fluctuations in case numbers–a phenomenon not well understood to date. Possible …

Emerging and reemerging infectious diseases continue to pose considerable regional and
global concerns. A vital contribution to be made by geographers is in developing an …

In this paper, to study the spread of vector-borne diseases in human population, we build
two coupled models for human population and vector population respectively on bipartite …

A current challenge for disease modeling and public health is understanding pathogen
dynamics across scales since their ecology and evolution ultimately operate on several …

A mathematical model is developed for analysis of the spread of mosaic disease in plants,
which account for incubation period and latency that are represented by time delays …