In this work, we explore a Lotka-Volterra competitive system in which the species` movement depends on certain criteria about the environment. The environmental criteria include the species` judgement about the distribution of resources, the density of individuals, and their relative species. Therefore, this reflects a more realistic species movement, as it is assumed that species movements can vary based on the ability to judge the population density ratio and the available resources within a habitat. From this assumption, we model the species` movement as nonlinearly dispersed, referred to as starvation-driven-type diffusion (SDTD), and understand the effects of nonlinear diffusion on the dynamics of the system. First, we investigate the species` fitness to its environment through nonlinear diffusion by analyzing the stability of the semitrivial solutions. We also explore several properties of the positive steady-state solutions from the impact of SDTD on species fitness. This work contains joint work with Wonhyung Choi and Inkyung Ahn.