In this study mathematical models of forest-pest interaction dynamics in temporal and spatial domains are developed. 

A comparison of models with different types of insect feeding and competition shows that properties of forest succession depend on insect feeding and competitive interactions within the species. 

This study considers insect and seed spatial diffusion and transport and shows that the dispersion patterns of the species should not be ignored if a valid representation of reality is to be presented. In several particular cases traveling waves are obtained. 

Parameter identification and inverse problems are discussed and finite difference approximations and prepared software for the interactive  exploration of developed models are briefly described. Some numerical results are presented.