Continuous Models for Two Interacting Populations

  • Fred Brauer
  • Carlos Castillo-Chávez
Part of the Texts in Applied Mathematics book series (TAM, volume 40)


In this chapter we will consider populations of two interacting species with population sizes x(t) and y(t), respectively, modeled by a system of two first order differential equations:
$$\begin{gathered} x' = F(x,y) \hfill \\ y' = G(x,y) \hfill \\ \end{gathered} $$


Saddle Point Continuous Model Competitive Exclusion Computer Algebra System Stable Node 
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Copyright information

© Springer Science+Business Media New York 2001

Authors and Affiliations

  • Fred Brauer
    • 1
  • Carlos Castillo-Chávez
    • 2
    • 3
  1. 1.Department of MathematicsUniversity of British ColumbiaVancouverCanada
  2. 2.Dept. of Theoretical and Applied MechanicsMathematical and Theoretical Biology InstituteUSA
  3. 3.Biometrics DepartmentCornell UniversityIthacaUSA

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