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Solução Aproximada Para O Modelo Reativo-difusivo Unidimensional Para Uma Espécie: Equação De Fisher-kolmogorov
| Content Provider | Semantic Scholar |
|---|---|
| Author | Frighetto, Daiane Frighetto Costa, Camila Pinto Da Molter, Alexandre |
| Copyright Year | 2018 |
| Abstract | In the dispersion of populations, the interaction of certain species with their habitat may have their behavior described by the Fisher-Kolmogorov equation. This equation is of the diffusive type plus a source term that satisfies the logistic law. This work proposes a study of this equation using the traveling wave theory to reduce Fisher-Kolmogorov's partial differential equation (PDE) to an ordinary differential equation (ODE). From this, the stability theory is applied in order to obtain a qualitative interpretation of the equation by checking the existence of traveling waves between the equilibrium points and determining an approximate solution through the perturbation method, considering a parameter in the phase plane. In addition, it will be possible to perform the analysis of the difference generated by the exact solution (unknown) and the approximate analytical solution obtained. |
| File Format | PDF HTM / HTML |
| DOI | 10.21575/25254782rmetg2018vol3n2537 |
| Alternate Webpage(s) | http://periodicos.ifpr.edu.br/index.php?journal=MundiETG&op=viewFile&page=article&path%5B%5D=537&path%5B%5D=207 |
| Alternate Webpage(s) | https://doi.org/10.21575/25254782rmetg2018vol3n2537 |
| Volume Number | 3 |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
