Qualitative properties of solutions to a generalized Fisher-KPP equation
The following Fisher–KPP type equation ut = Kuxx − Buq + Aup , (x, t) ∈ R × (0, ∞), with p > q > 0 and A, B, K positive coefficients, is considered. For both p > q > 1 and p > 1, q = 1, we construct stationary solutions, establish their behavior as |x| → ∞ and prove that they are sepa...
Elmentve itt :
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2025
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Fisher-KPP egyenlet |
| Tárgyszavak: | |
| doi: | 10.14232/ejqtde.2025.1.8 |
| Online Access: | http://acta.bibl.u-szeged.hu/88888 |
| Tartalmi kivonat: | The following Fisher–KPP type equation ut = Kuxx − Buq + Aup , (x, t) ∈ R × (0, ∞), with p > q > 0 and A, B, K positive coefficients, is considered. For both p > q > 1 and p > 1, q = 1, we construct stationary solutions, establish their behavior as |x| → ∞ and prove that they are separatrices between solutions decreasing to zero in infinite time and solutions presenting blow-up in finite time. We also establish decay rates for the solutions that decay to zero as t → ∞. |
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| Terjedelem/Fizikai jellemzők: | 19 |
| ISSN: | 1417-3875 |