| Contents |
| In this talk, I will present some reaction-dispersion equations with local and nonlocal dispersion terms and either monostable or bistable reaction terms. The goal of the talk is to present a new approach to study the inside dynamics of solutions which propagate in space. I will first focus on the reaction-diffusion traveling wave to present the notion of pulled and pushed traveling waves. Then, I will investigate the integro-diffrential traveling waves and the accelerating solutions of integro-differential equations. We will see that this approach gives some insights on the consequences of range expansion of population on their diversity. |
|