RED QUEEN DYNAMICS ON PHENOTYPES OF THE COMBINED LESLIE-GOWER AND HOLLING TYPE II POPULATION MODEL
Research on interactions between species in an environment has an important role to protect species that have an impact on the balance of the ecosystem. In this interaction, their characteristics or phenotypes adjust to each other in order to survive so that there is co-evolution between these sp...
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| Format: | Theses |
| Language: | Indonesia |
| Online Access: | https://digilib.itb.ac.id/gdl/view/71687 |
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| Institution: | Institut Teknologi Bandung |
| Language: | Indonesia |
| Summary: | Research on interactions between species in an environment has an important role
to protect species that have an impact on the balance of the ecosystem. In this interaction,
their characteristics or phenotypes adjust to each other in order to survive
so that there is co-evolution between these species. In this thesis, co-evolution of
the phenotypes of two interacting species will be studied with a mathematical model
which consists of two parts, namely the combined population model of Leslie-Gower
with Holling Type II as the functional response and the phenotype model constructed
from stochastic mutation and selection processes. The linear stability analysis
of the two models is carried out to investigate the stability of each equilibrium point.
The numerical simulations show that there is a possibility for the Red Queen dynamics
to occur in the system by showing the existence of a stable limit cycle when the
rate of evolution of one species is faster than its rival. The quality of one species as
food for another species also influences the dynamic behavior of the system. |
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