Name
Abstract | ||
|---|---|---|
We analyze mathematically a system of impulsive nonlinear parabolic equations that model a shallow lagoon subject to anoxic crises and two types of impulsive harvesting. The main focus is on the existence and properties of periodic solutions. In particular we give conditions that ensure the existence of such solutions and examine the effect of harvesting on the occurrence of anoxic crises. Our approach is based on estimates of the principal eigenvalue of associated linear problems, and on results from Nonlinear Functional Analysis. In particular, we obtain explicit criteria that involve the integrals of coefficients rather than maxima and minima. This is significant due to the large seasonal variations in the coefficient values. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1016/j.mcm.2007.06.002 | Mathematical and Computer Modelling |
Keywords | Field | DocType |
main focus,lagoon ecological model,nonlinear periodic-parabolic equations,principal eigenvalue,explicit criterion,linear problem,harvesting process,impulsive nonlinear parabolic equation,anoxic crisis,periodic solution,coefficient value,impulsive system,nonlinear functional analysis,anoxic crises,impulsive harvesting,lagoon ecology,large seasonal variation,seasonal variation,parabolic equation,ecological model,functional analysis | Social ecological model,Nonlinear parabolic equations,Mathematical analysis,Nonlinear functional analysis,Maxima and minima,Anoxic waters,Periodic graph (geometry),Eigenvalues and eigenvectors,Mathematics,Parabola | Journal |
Volume | Issue | ISSN |
47 | 7-8 | Mathematical and Computer Modelling |
Citations | PageRank | References |
1 | 0.40 | 1 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Walter Allegretto | 1 | 65 | 7.11 |
| Duccio Papini | 2 | 226 | 10.77 |