Influence of small mammal’s dynamics on the tick population: mathematical modeling and numerical experiments

The authors propose a mathematical model of the taiga tick population dynamics taking into account its life cycle and interaction with small mammals. This model studies dynamics regimes of the taiga tick population. They consider the cases, when small mammals’ number is 1) constant 2) undergoes the two-year fluctuations. The authors investigate dynamic modes of the proposed model and study the influence of small mammal’s dynamics on fluctuations of the taiga tick population.