Manaf, Zati Iwani Abdul (2025) Dynamical Behaviour Of Prey-Predator Systems: Exploring Herd Mechanisms, Prey Refuges, And The Dispersal Process. PhD thesis, Perpustakaan Hamzah Sendut.
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Abstract
The complex interactions between prey and predator dynamics are a central concern in ecology, influencing both biodiversity and ecosystem stability. This thesis addresses relatively underexplored aspects of these interactions by investigating the effects of three crucial ecological mechanisms: herd mechanism, prey refuges, and dispersal processes. The primary objective is to analyse how prey-predator systems respond to the presence and absence of these factors. To achieve this, an analysis of four existing ecological ordinary differential equation (ode) models is conducted, focusing on prey-predator systems characterised by type ii and square-root functional responses. Based on these analyses, three new ecological models are proposed. The first model uniquely incorporates herd behaviour exclusively in predator populations, directly addressing the literature gap on predator herding. The second model extends this by incorporating prey refuge effects to explore their joint influence with predator herding. The third model further extends the prey-predator model with predator herd behaviours into a partial differential equation (pde) system, enabling the examination of spatial and dispersal process in this ecological system.
| Item Type: | Thesis (PhD) |
|---|---|
| Subjects: | Q Science > QA Mathematics > QA1 Mathematics (General) |
| Divisions: | Pusat Pengajian Sains Matematik (School of Mathematical Sciences) > Thesis |
| Depositing User: | Mr Hasmizar Mansor |
| Date Deposited: | 09 Jul 2026 04:48 |
| Last Modified: | 09 Jul 2026 04:48 |
| URI: | http://eprints.usm.my/id/eprint/64581 |
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