A class of bijective Lotka–Volterra operators and its application

It is well known that any classical Lotka–Volterra (LV) operator (associated with quadratic stochastic operator) defined on the simplex a homeomorphism. On other hand, more general LV systems have important applications in time evolution of conflicting species biology. natural to study bijectivity such kind operators. There an example which not injective. In this paper, we introduce class operators are bijective. As application our result, existence and uniqueness solution Hammerstein integral equations proved.