Abstract
We study the behavior of solutions of a three dimensional discrete time nonlinear matrix population model. We prove results concerning the existence of equilibrium points, boundedness, permanence of solutions, and global stability in special cases of interest. Moreover, numerical simulations are used to compare the dynamics of two main forms of the density dependence function (rational and exponential).
| Original language | English |
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| Pages (from-to) | 16-Jan |
| Journal | The Australian Journal of Mathematical Analysis and Applications |
| Volume | 7 |
| Issue number | 1 |
| State | Published - 2010 |