In this paper,we establish a parity progressive population model with growth rate:whereγis the growth rate.and the well-posed and asymptotic properties of nonnegative solution on the state spaceX = L1[0,M)×L1[0,M)×···×L1[0,M) are discussed by terms of C0-semigroupsmethod. There are three chapters in this paper.In first chapter, a new model and prime results are presented.In the second chapter,the properties of operator A for parity progressive populationare disscussed.In the third chapter,the well-posed are presented.
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