A model extending from Goldstein-Kac Telegraphic Equation that describe numerically the population dynamics problem

Resumo

In this work we consider a particles motion modeling into 2D domain. The motion happens by par-
ticles’ decision which is modeled from parameters like territorial occupation and populational value, both at the

domain. We used an equations’ system to create our model from extending the well-known Goldstein-Kac tele-
graphic equation. Specifically, the particles could be animals, virus, cells, the property concentration and anything

of engineering as well. This model describes the population’s density behavior at the space and time in a two

dimensional space. Also, the model lets the particles to have different spreading properties in each dimension. Be-
sides, the model is solved by quasi linear numerical method (QLNM). The QLNM is a novel smart finite difference

technique that solves complex nonlinear partial differential equations. The quality of solutions is guaranteed by
numerical