@article{fdi:010062343,
  title = {{S}tability analysis of competing insect species for a single resource},
  author = {{M}walusepo, {S}. and {T}onnang, {H}. {E}. {Z}. and {M}assawe, {E}. {S}. and {J}ohansson, {T}. and {L}e {R}ü, {B}runo},
  editor = {},
  language = {{ENG}},
  abstract = {{T}he models explore the effects of resource and temperature on competition between insect species. {A} system of differential equations is proposed and analysed qualitatively using stability theory. {A} local study of the models is performed around axial, planar, and interior equilibrium points to successively estimate the effect of (i) one species interacting with a resource, (ii) two competing species for a single resource, and (iii) three competing species for a single resource. {T}he local stability analysis of the equilibrium is discussed using {R}outh-{H}urwitz criteria. {N}umerical simulation of the models is performed to investigate the sensitivity of certain key parameters. {T}he models are used to predict population dynamics in the selected cases studied. {T}he results show that when a single species interacts with a resource, the species will be able to establish and sustain a stable population. {H}owever, in competing situation, it is observed that the combinations of three parameters (half-saturation, growth rate, and mortality rate) determine which species wins for any given resource. {M}oreover, our results indicate that each species is the superior competitor for the resource for the range of temperature for which it has the lowest equilibrium resource.},
  keywords = {},
  booktitle = {},
  journal = {{J}ournal of {A}pplied {M}athematics},
  numero = {},
  pages = {art. 285350},
  ISSN = {1110-757{X}},
  year = {2014},
  DOI = {10.1155/2014/285350},
  URL = {https://www.documentation.ird.fr/hor/fdi:010062343},
}