In a work published in Nature Scientific Reports, we resolved the puzzle of the occurrence, absence & collapse of pest outbreak cycles by incorporating climate parameters for the first time in a mathematical model.
In a different work we showed that the mere presence of a new species in an ecological system can lead to widely divergent dynamics depending upon the choice of initial conditions. It was shown that this can also lead to cessation of population cycles or unexpected species extinction. It was also demonstrated that introduction of a new species changes periodicity of pest outbreak cycles, as is also experimentally observed.