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Of Patches, Predators and Policies: Mathematical Stories From Land and Sea
Of Patches, Predators and Policies: Mathematical Stories From Land and Sea
상세정보
- 자료유형
- 학위논문 서양
- 최종처리일시
- 20260202103528
- ISBN
- 9798290613918
- DDC
- 574.5
- 서명/저자
- Of Patches, Predators and Policies: Mathematical Stories From Land and Sea
- 발행사항
- [Sl] : University of California, Davis, 2025
- 발행사항
- Ann Arbor : ProQuest Dissertations & Theses, 2025
- 형태사항
- 81 p
- 주기사항
- Source: Dissertations Abstracts International, Volume: 87-01, Section: B.
- 주기사항
- Advisor: Hastings, Alan.
- 학위논문주기
- Thesis (Ph.D.)--University of California, Davis, 2025.
- 초록/해제
- 요약Ecological systems are shaped by nonlinear interactions, spatial structure, and, increasingly, human interventions. Understanding the mechanisms that drive species persistence, oscillations, and spatial pattern formation is essential for predicting ecological outcomes and designing effective management strategies. This dissertation uses a suite of mathematical models-including discrete-time and continuous-time dynamical systems, spatially explicit metapopulations, and ecological networks-to explore the dynamics of insect herbivores, their parasitoid enemies, and multispecies fisheries systems.The first part of this work focuses on host-parasitoid dynamics across habitat patches. Using discrete-time models, we show how migration influences the synchrony of population outbreaks, identifying parameter regimes that support in-phase or out-of-phase oscillations. These results are shown to be robust across a variety of functional forms for parasitism and competition. Extending this analysis to larger, heterogeneous landscapes, we explore how even modest habitat loss can disrupt spatial synchrony, reduce population densities, and generate novel spatial phenomena such as spiral waves-emerging from the interplay between local dynamics and spatial heterogeneity. In the final part of the dissertation, we develop a continuous-time ecological network model of fisheries that incorporates both species interactions and heterogeneous human harvesters. We examine how bioeconomic feedbacks and quota-based management policies affect ecological resilience and economic outcomes. By simulating multiple food webs and policy scenarios, we highlight trade-offs between conservation, profit, and harvest sustainability.Together, these studies demonstrate the power of mathematical modeling in revealing general principles of ecological dynamics and informing management strategies in complex, coupled human-natural systems.
- 일반주제명
- Ecology
- 일반주제명
- Aquatic sciences
- 일반주제명
- Applied mathematics
- 키워드
- Oscillations
- 기타저자
- University of California, Davis Applied Mathematics
- 기본자료저록
- Dissertations Abstracts International. 87-01B.
- 전자적 위치 및 접속
- 로그인 후 원문을 볼 수 있습니다.
MARC
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■006m o d
■007cr#unu||||||||
■020 ▼a9798290613918
■035 ▼a(MiAaPQ)AAI32039538
■040 ▼aMiAaPQ▼cMiAaPQ
■0820 ▼a574.5
■1001 ▼aKushal, Appilineni.
■24510▼aOf Patches, Predators and Policies: Mathematical Stories From Land and Sea
■260 ▼a[Sl]▼bUniversity of California, Davis▼c2025
■260 1▼aAnn Arbor▼bProQuest Dissertations & Theses▼c2025
■300 ▼a81 p
■500 ▼aSource: Dissertations Abstracts International, Volume: 87-01, Section: B.
■500 ▼aAdvisor: Hastings, Alan.
■5021 ▼aThesis (Ph.D.)--University of California, Davis, 2025.
■520 ▼aEcological systems are shaped by nonlinear interactions, spatial structure, and, increasingly, human interventions. Understanding the mechanisms that drive species persistence, oscillations, and spatial pattern formation is essential for predicting ecological outcomes and designing effective management strategies. This dissertation uses a suite of mathematical models-including discrete-time and continuous-time dynamical systems, spatially explicit metapopulations, and ecological networks-to explore the dynamics of insect herbivores, their parasitoid enemies, and multispecies fisheries systems.The first part of this work focuses on host-parasitoid dynamics across habitat patches. Using discrete-time models, we show how migration influences the synchrony of population outbreaks, identifying parameter regimes that support in-phase or out-of-phase oscillations. These results are shown to be robust across a variety of functional forms for parasitism and competition. Extending this analysis to larger, heterogeneous landscapes, we explore how even modest habitat loss can disrupt spatial synchrony, reduce population densities, and generate novel spatial phenomena such as spiral waves-emerging from the interplay between local dynamics and spatial heterogeneity. In the final part of the dissertation, we develop a continuous-time ecological network model of fisheries that incorporates both species interactions and heterogeneous human harvesters. We examine how bioeconomic feedbacks and quota-based management policies affect ecological resilience and economic outcomes. By simulating multiple food webs and policy scenarios, we highlight trade-offs between conservation, profit, and harvest sustainability.Together, these studies demonstrate the power of mathematical modeling in revealing general principles of ecological dynamics and informing management strategies in complex, coupled human-natural systems.
■590 ▼aSchool code: 0029.
■650 4▼aEcology
■650 4▼aAquatic sciences
■650 4▼aApplied mathematics
■653 ▼aEcological systems
■653 ▼aMathematical models
■653 ▼aOscillations
■653 ▼aHeterogeneous landscapes
■653 ▼aEconomic outcomes
■690 ▼a0329
■690 ▼a0792
■690 ▼a0364
■71020▼aUniversity of California, Davis▼bApplied Mathematics.
■7730 ▼tDissertations Abstracts International▼g87-01B.
■790 ▼a0029
■791 ▼aPh.D.
■792 ▼a2025
■793 ▼aEnglish
■85640▼uhttp://www.riss.kr/pdu/ddodLink.do?id=T17357552▼nKERIS▼z이 자료의 원문은 한국교육학술정보원에서 제공합니다.
