Abstract
In this paper, we propose a discrete modified Leslie-Gower predator- prey model with Holling-type II functional response derived from the nonstandard finite difference (NSFD) method. It is shown that the NSFD scheme preserves the dynamics of the corresponding continuous model such as the positivity solutions, equilibria and the local stability properties. The dynamical consistence of the discrete model is independent of time-step size. To confirm the analytical results, some numerical simulations are presented.
| Original language | English |
|---|---|
| Pages (from-to) | 719-733 |
| Number of pages | 15 |
| Journal | Far East Journal of Mathematical Sciences |
| Volume | 99 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - Mar 2016 |
UN SDGs
This output contributes to the following UN Sustainable Development Goals (SDGs)
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SDG 15 Life on Land
Keywords
- Difference equation
- Discrete model
- Dynamically consistent
- Unconditionally positive scheme
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