Abstract
A non-standard finite difference scheme for a harvesting Leslie–Gower equations is constructed. It is shown that the obtained difference system has the same dynamics as the original continuous system, such as positivity of solutions, equilibria and their local stability properties, irrespective of the size of numerical time step. To illustrate the analytical results, we present some numerical simulations.
| Original language | English |
|---|---|
| Pages (from-to) | 528-534 |
| Number of pages | 7 |
| Journal | Journal of Difference Equations and Applications |
| Volume | 21 |
| Issue number | 6 |
| DOIs | |
| Publication status | Published - 3 Jun 2015 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- asymptotically stable
- difference equation
- discrete Leslie–Gower equation
- dynamically consistent
- predator–prey model
- unconditionally positive
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