This book is a collection of works that represent the recent
advancements in computational and mathematical methods applied to
population dynamics. It concentrates on both development of new
tools as well as on innovative use of existing tools to obtain new
understanding of biological systems. The volume introduces new
state-of-the-art techniques for defining and solving numerically
control problems in mathematical biology in which the control
appears linearly. Such problems produce simpler optimal controls
that can be implemented in practice. The book further develops
tools for fitting multi-scale models to multi-scale data and
studying the practical identifiability of the parameters from
multi-scale data. Novel model of Zika with Wolbahia infection in
mosquitoes suggests that the most suitable control strategy to
control Zika in the absence of Wolbahia is killing mosquitoes but
the most suitable strategy when mosquitoes are Wolbahia infected is
the treatment of humans.A completely novel methodology of
developing discrete-continuous hybrid models of multi-species
interactions is also introduced together with avantgarde techniques
for discrete-continuous hybrid models analysis. A mathematical
model leads to new observations of the within-host virus dynamics
and its interplay with the immune responses. In particular, it is
observed that the parameters promoting CTL responses need to be
boosted over parameters promoting antibody production to obtain a
biologically relevant steady state. A novel stochastic model of
COVID-19 investigates quarantine and lock down as important
strategies for control and elimination of COVID-19.
General
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