In this paper,the global existence and uniqueness of solution to the non-linear population PDE model are dicussed.In the case of the small initial value,by analyzing the propeties of some operators,the global existence and unique-ness,the regularity and dependence on the initial values of the solution aboutthis model are presented.In the case of big the initial value and without e?ect ofimmigration, the global existence and uniqueness are dicussed by the mothod ofsuccessive approximation.
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