Abstract
The global stability of the nonhomogeneous positive steady state solution to a diffusive Holling-Tanner predator-prey model in a heterogeneous environment is proved by using a newly constructed Lyapunov function and estimates of nonconstant steady state solutions. The techniques developed here can be adapted for other spatially heterogeneous consumer-resource models.
| Original language | English |
|---|---|
| Pages (from-to) | 3781-3794 |
| Journal | Proceedings of the American Mathematical Society |
| Volume | 149 |
| Issue number | 9 |
| Early online date | 4 Jun 2021 |
| DOIs | |
| Publication status | Published - 2021 |
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