Predator-prey models with almost periodic coefficients

Abstract

This paper deals with the question of persistence of differential equations with almost periodic coefficients which model predator-prey systems. It is shown that persistence does occur in many models that incorporate almost periodic time dependence in the prey equation

AMS(MOS):

• 34C27
• 92A17

¹The research of this author for this paper was done while on sabbatical at Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia, U.S.A. 30322 during the academic year 1986/87

²This author would like to thank Professor Robert H. Martin, Jr. of North Carolina State University for a helpful discussion during the preparation of this paper

³Present address: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

¹The research of this author for this paper was done while on sabbatical at Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia, U.S.A. 30322 during the academic year 1986/87

²This author would like to thank Professor Robert H. Martin, Jr. of North Carolina State University for a helpful discussion during the preparation of this paper

³Present address: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1

Notes

¹The research of this author for this paper was done while on sabbatical at Department of Mathematics and Computer Science, Emory University, Atlanta, Georgia, U.S.A. 30322 during the academic year 1986/87

²This author would like to thank Professor Robert H. Martin, Jr. of North Carolina State University for a helpful discussion during the preparation of this paper

³Present address: Department of Mathematics, University of Alberta, Edmonton, Alberta, Canada T6G 2G1