Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest
This paper presents the study of the dynamics of intrahost (insect pests)-pathogen [entomopathogenic fungi (EPF)] interactions. The interaction between the resources from the insect pest and the mycelia of EPF is represented by the Holling and Powell type II functional responses. Because the EPF’s g...
| Autores principales: | , , , , , |
|---|---|
| Formato: | Journal Article |
| Lenguaje: | Inglés |
| Publicado: |
AIP Publishing
2019
|
| Materias: | |
| Acceso en línea: | https://hdl.handle.net/10568/102127 |
| _version_ | 1855541039695134720 |
|---|---|
| author | Djouda, B.S. Moukam Kakmeni, F.M. Guemkam Ghomsi, P. Ndjomatchoua, F.T. Tchawoua, C. Tonnang, Henri E.Z. |
| author_browse | Djouda, B.S. Guemkam Ghomsi, P. Moukam Kakmeni, F.M. Ndjomatchoua, F.T. Tchawoua, C. Tonnang, Henri E.Z. |
| author_facet | Djouda, B.S. Moukam Kakmeni, F.M. Guemkam Ghomsi, P. Ndjomatchoua, F.T. Tchawoua, C. Tonnang, Henri E.Z. |
| author_sort | Djouda, B.S. |
| collection | Repository of Agricultural Research Outputs (CGSpace) |
| description | This paper presents the study of the dynamics of intrahost (insect pests)-pathogen [entomopathogenic fungi (EPF)] interactions. The interaction between the resources from the insect pest and the mycelia of EPF is represented by the Holling and Powell type II functional responses. Because the EPF’s growth is related to the instability of the steady state solution of our system, particular attention is given to the stability analysis of this steady state. Initially, the stability of the steady state is investigated without taking into account diffusion and by considering the behavior of the system around its equilibrium states. In addition, considering small perturbation of the stable singular point due to nonlinear diffusion, the conditions for Turing instability occurrence are deduced. It is observed that the absence of the regeneration feature of insect resources prevents the occurrence of such phenomena. The long time evolution of our system enables us to observe both spot and stripe patterns. Moreover, when the diffusion of mycelia is slightly modulated by a weak periodic perturbation, the Floquet theory and numerical simulations allow us to derive the conditions in which diffusion driven instabilities can occur. The relevance of the obtained results is further discussed in the perspective of biological insect pest control. |
| format | Journal Article |
| id | CGSpace102127 |
| institution | CGIAR Consortium |
| language | Inglés |
| publishDate | 2019 |
| publishDateRange | 2019 |
| publishDateSort | 2019 |
| publisher | AIP Publishing |
| publisherStr | AIP Publishing |
| record_format | dspace |
| spelling | CGSpace1021272025-01-27T15:00:52Z Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest Djouda, B.S. Moukam Kakmeni, F.M. Guemkam Ghomsi, P. Ndjomatchoua, F.T. Tchawoua, C. Tonnang, Henri E.Z. biological control developmental stages insecta entomopathogenic fungi insect pest This paper presents the study of the dynamics of intrahost (insect pests)-pathogen [entomopathogenic fungi (EPF)] interactions. The interaction between the resources from the insect pest and the mycelia of EPF is represented by the Holling and Powell type II functional responses. Because the EPF’s growth is related to the instability of the steady state solution of our system, particular attention is given to the stability analysis of this steady state. Initially, the stability of the steady state is investigated without taking into account diffusion and by considering the behavior of the system around its equilibrium states. In addition, considering small perturbation of the stable singular point due to nonlinear diffusion, the conditions for Turing instability occurrence are deduced. It is observed that the absence of the regeneration feature of insect resources prevents the occurrence of such phenomena. The long time evolution of our system enables us to observe both spot and stripe patterns. Moreover, when the diffusion of mycelia is slightly modulated by a weak periodic perturbation, the Floquet theory and numerical simulations allow us to derive the conditions in which diffusion driven instabilities can occur. The relevance of the obtained results is further discussed in the perspective of biological insect pest control. 2019-05-01 2019-07-10T10:48:11Z 2019-07-10T10:48:11Z Journal Article https://hdl.handle.net/10568/102127 en Limited Access AIP Publishing Djouda, B.S., Moukam Kakmeni, F.M., Guemkam Ghomsi, P., Ndjomatchoua, F.T., Tchawoua, C. & Tonnang, H.E.Z. (2019). Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest. Chaos: An Interdisciplinary Journal of Nonlinear Science, 29(5): 053134, 1-13. |
| spellingShingle | biological control developmental stages insecta entomopathogenic fungi insect pest Djouda, B.S. Moukam Kakmeni, F.M. Guemkam Ghomsi, P. Ndjomatchoua, F.T. Tchawoua, C. Tonnang, Henri E.Z. Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title | Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title_full | Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title_fullStr | Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title_full_unstemmed | Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title_short | Theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| title_sort | theoretical analysis of spatial nonhomogeneous patterns of entomopathogenic fungi growth on insect pest |
| topic | biological control developmental stages insecta entomopathogenic fungi insect pest |
| url | https://hdl.handle.net/10568/102127 |
| work_keys_str_mv | AT djoudabs theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest AT moukamkakmenifm theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest AT guemkamghomsip theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest AT ndjomatchouaft theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest AT tchawouac theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest AT tonnanghenriez theoreticalanalysisofspatialnonhomogeneouspatternsofentomopathogenicfungigrowthoninsectpest |