Arifin, Nurul Aina (2014) Predatorprey model with constant rate of harvesting. Masters thesis, Universiti Teknologi Malaysia, Faculty of Science.

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Abstract
Predatorprey model is the first model to illustrate the interaction between predators and prey. It is a topic of great interest for many ecologists and mathematicians. This model assumes that the predator populations have negative effects on the prey populations. The generalized equation of this model is the response of the populations would be proportional to the product of their population densities. Prey population grows with limited by carrying capacity, K and it is called the logistic equation. Thus, in this research, there are four different cases are analyzed which are predatorprey model, predatorprey model with harvesting in prey, predatorprey model with harvesting in predator and predatorprey model with harvesting in both populations. Systems of ordinary differential equation are used for all models. The objectives of this research are i) to study the concept of LotkaVolterra predatorprey model, ii) to analyze the predatorprey model with constant rate of harvesting in prey, iii) to analyze the predatorprey model with constant rate of harvesting in predator, iv) to analyze the predatorprey model with constant rate of harvesting in both populations. In analyzing all four models, equilibrium points will be obtained and analyzed for the stability by using RouthHurwitz Criteria. Lastly, some numerical examples and graphical analysis are shown to illustrate the stability of the stable equilibrium points and the effects of harvesting to the systems.
Item Type:  Thesis (Masters) 

Additional Information:  Thesis (Sarjana Sains (Matematik))  Universiti Teknologi Malaysia, 2014 
Subjects:  Q Science > QA Mathematics 
Divisions:  Science 
ID Code:  48587 
Deposited By:  Haliza Zainal 
Deposited On:  15 Oct 2015 01:09 
Last Modified:  05 Feb 2020 08:58 
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