Dynamical Modeling and Data Clustering with Applications to Tick Population Dynamics and Finance

Mathematical models are valuable tools that assist to control the spread of infected ticks and analyze tick-host dynamics. In this work, a compartmental model is created to study the dynamics of lone star ticks and white-tailed deers, with a focus on migration effect of white-tailed deers. The second model focuses on the effect of grooming behaviour of the host on tick dynamics. Lastly, a data set is separated using K-means and Birch clustering techniques and the silhouette score has been evaluated.