Publication: An analysis on mutualism interaction with seasonal harvesting
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Date
2023-05
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Don Mariano Marcos Memorial State University - South La Union Campus
Abstract
This pure mathematics study dealt with the analysis of mutualism interaction with
seasonal harvesting that investigates when will the two mutualists survive if seasonal
harvesting is applied on the population of the first mutualist. The researchers modified the
existing model of Ahmad (2017) by incorporating seasonal harvesting to the first mutualist.
The harvesting term was adapted from the study of Chen et.al. (2013). These were then
subject to stability analysis. Specifically, the study determined the existence and stability
conditions of the equilibrium points. Furthermore, numerical simulation was done using
OCTAVE software to verify and validate theoretical results.
As a result, it was found out that there will be 110 possibility for the first mutualist
to only persist through time since the two mutualists are not fully dependent on each other.
Whereas, at a certain restrictions and conditions, there is a possibility that the two
mutualists will persist through time even with the seasonal harvesting being applied (In the
population of the first mutualist. This means that, if seasonal harvesting was done on the
population of the first mutualist for the sake of the economy, the populations of the MO
mutualists are still conserved. Also, seasonal harvesting on the population of the first
mutualist does not affect the growth of the population of the first and second mutualists.
Future researchers are encouraged to study mutualism interaction with three or
more mutualist involve and incorporate simultaneous harvesting. It is also recommended
to use other mathematical software other than OCTAVE to numerically simulate the
results.
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Citation
Isla, V. I. N., Aldea, J. L., Boado, J. D., & Rabanal, J. V. (2023) An analysis on mutualism interaction with seasonal harvesting [Unpublished Undergraduate thesis]. Don Mariano Marcos Memorial State University - South La Union Campus, Agoo, La Union.