Free boundary problems with nonlocal diffusion and reaction terms
In this paper,the author studies a free boundary problem with nonlocal diffusion and re-action terms,proves the existence and uniqueness of the solution,and uses iterative method to study the asymptotic behavior of the solution.In particular,when diffusion occurs,it is proved that the system has a unique positive solution and is globally asymptotically stable in the sense of com-pact expansion,indicating that two populations can eventually coexist under weak competition.