Mathematical Models of Plant-Herbivore Interactions

Mathematical Models of Plant-Herbivore Interactions

Author: Zhilan Feng

Publisher: CRC Press

Published: 2017-09-07

Total Pages: 240

ISBN-13: 1498769187

DOWNLOAD EBOOK

Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology.


Mathematical Models of Plant-herbivore Interactions

Mathematical Models of Plant-herbivore Interactions

Author: Zhilan Feng

Publisher:

Published: 2017

Total Pages: 219

ISBN-13: 9781315154138

DOWNLOAD EBOOK

"Mathematical Models of Plant-Herbivore Interactions addresses mathematical models in the study of practical questions in ecology, particularly factors that affect herbivory, including plant defense, herbivore natural enemies, and adaptive herbivory, as well as the effects of these on plant community dynamics. The result of extensive research on the use of mathematical modeling to investigate the effects of plant defenses on plant-herbivore dynamics, this book describes a toxin-determined functional response model (TDFRM) that helps explains field observations of these interactions. This book is intended for graduate students and researchers interested in mathematical biology and ecology."--Provided by publisher.


Variable plants and herbivores in natural and managed systems

Variable plants and herbivores in natural and managed systems

Author: Robert Denno

Publisher: Elsevier

Published: 2012-12-02

Total Pages: 735

ISBN-13: 0323142877

DOWNLOAD EBOOK

Variable Plants and Herbivores in Natural and Managed Systems examines individual, population, species, and community responses of herbivores to plant variation, with emphasis on insects, fungi, bacteria, and viruses. It is divided into five parts encompassing 18 chapters that discuss variability as a mechanism of defense used by plants against their parasites and the effects of variability on herbivores at several different levels of complexity. After a brief discussion on plant-herbivore interactions, the first part of this book considers sources of within-plant variation and effects on the distribution and abundance of herbivores. Part II examines interplant variation, the co-evolutionary problems it poses for herbivores, and the ecological and evolutionary responses of these animals. It discusses the effects of host-plant variability on the fitness of sedentary herbivorous insects. Part III discusses the role of host variability in the evolution of feeding specialization, genetic differentiation, and race formation. The importance of host variation to the organization of herbivore communities and the manipulation of host-plant variability for the management of herbivore pest populations are presented in the remaining parts. This book will be helpful to agriculturists, silviculturists, biologists, and researchers who wish to expand their knowledge in dynamics of plant-herbivore relationships.


Microbial Mediation of Plant-Herbivore Interactions

Microbial Mediation of Plant-Herbivore Interactions

Author: Pedro Barbosa

Publisher: John Wiley & Sons

Published: 1991-09-03

Total Pages: 552

ISBN-13: 9780471613244

DOWNLOAD EBOOK

Novel Aspects of Insect-Plant Interactions Edited by Pedro Barbosa and Deborah K. Letourneau Focusing on three trophic levels, this study widens the current understanding of the ecological interactions between plants, herbivores, and their parasitoids and predators. Emphasized are the mediating effects of plant-derived allelochemicals on those interactions. The book also covers microorganisms as mediators of intertrophic and intratrophic interactions; theory and mechanisms: plant effects via allelochemicals on the third trophic level; and key roles of plant allelochemicals in survival strategies of herbivores. 1988 (0 471-83276-6) 362 pp. Plant-Animal Interactions Evolutionary Ecology in Tropical and Temperate Regions Edited by Peter W. Price, Thomas M. Lewinsohn, G. Wilson Fernandes and Woodruff W. Benson An outgrowth of an international symposium on Evolutionary Ecology of Tropical Herbivores held at UNICAMP, Brazil, this unique collaborative effort from leading scientists worldwide is the first comparative analysis of the existing ecological systems of temperate and tropical regions. In-depth and timely, the book's manifold analyses includes a discussion of tropical and temperate comparisons; mutualistic relationships between plants and animals; antagonistic relationships between plants and animals; plant-butterfly interactions; specificity in plant utilization; and community patterns in natural and agricultural systems. Amply illustrated with 150 detailed graphics, the book provides a fascinating visual tour of the flora and fauna described. 1991 (0 471-50937-X) 639 pp. Integrated Pest Management Systems and Cotton Production Edited by Raymond E. Frisbie, Kamal M. El-Zik and L. Ted Wilson This work sheds light on the link between the thriving U.S. cotton crop and integrated pest management. It offers a unique theoretical and conceptual framework for studying the cotton-IPM system. Other relevant issues such as the development and use of pest models, quantitative sampling principles in cotton IPM, economic injury levels and thresholds for cotton pests, and strategies and tactics for managing weeds, plant pathogens, nematodes, and insects are also described. Covering every facet of IPM technology, this is a significant contribution to the literature of pest management. 1989 (0 471-81782-1) 437 pp.


Community-Level Consequences of Plant-Herbivore Interactions

Community-Level Consequences of Plant-Herbivore Interactions

Author: Tania N. Kim

Publisher:

Published: 2012

Total Pages:

ISBN-13:

DOWNLOAD EBOOK

ABSTRACT: Ecological systems are dynamic, yet many experimental studies examine plant-herbivore interactions as from a simple, static, or single perspective. Reciprocal interactions can have profound effects on communities, and ignoring such feedbacks can result in mismatches between theoretical predictions and experimental results. In this dissertation, I examined reciprocal interactions between two plant species, Solanum carolinense and Solidago altissima and their insect herbivores. In chapter 2, I examined how insect herbivores influenced plant competition and coexistence. Theory suggests that herbivores influence plant communities by altering competitive interactions. Because the outcome of competition is influenced by both the per capita competitive ability of plants and demographic processes including density dependence and intrinsic population growth rates, measuring herbivore effects on all these processes is necessary to understand the mechanisms by which herbivores influence plant communities. I fit alternative competition models to data from a response surface experiment conducted over four years to examine how herbivores affected the outcome of competition between two perennial plants, Solanum carolinense and Solidago altissima . Within a growing season, herbivores reduced Solanum plant size, but did not affect Solidago, which exhibited compensatory growth. Across seasons, herbivores did not affect the density of Solanum but reduced both the density and population growth of Solidago. The best fit models indicated that the effects of herbivores varied with year. In some years, herbivores increased the per capita competitive effects of Solidago on Solanum; in other years herbivores influenced the intrinsic population growth rates of Solidago. I examined herbivore effects on the longer-term outcome of competition (over the time-scale of a typical old-field habitat) using simulations based on the best fit models. In the absence of herbivores, plant coexistence was observed. In the presence of herbivores, Solanum was excluded by Solidago in 60% of the simulations. I demonstrated that herbivores can influence the outcome of competition through both changes in per capita competitive effects and changes in demographic processes. I discuss the implications of these results for ecological succession and biocontrol. In chapter 3, I examined how plant community composition influenced damage patterns on plants. Neighboring plants can increase (associational susceptibility) or decrease (associational resistance) the likelihood of damage to a focal plant but their long-term consequences for plant competition and coexistence are unclear. Neighbor effects on damage can occur through changes in the relative density of the focal plant (i.e., frequency of the focal plant), the absolute density of the focal plant, or through the total density of plants, because the different mechanisms known to influence damage patterns (e.g., pest suppression by predators, herbivore foraging behavior, plant quality) respond to different features of the neighborhood. To examine the long-term consequences of neighbor effects for plant communities, an understanding of how density and frequency of plants influence damage is needed. Using a response surface experimental design, I examined the effects of plant density and frequency on damage to Solanum carolinense. I found non-linear effects of the frequency of heterospecific neighbors (Solidago altissima) on Solanum damage, and a positive effect of Solanum density on damage. The non-linear pattern suggests that multiple mechanisms may be operating to influence damage. Non-linear patterns may be common in other habitats but might be overlooked because traditional neighborhood studies use a very narrow range of densities in their experiments. I encourage future neighborhood studies to use response surface designs to determine the prevalence of non-linear relationships in nature. In chapter 4, I examined how neighborhood composition (i.e. plant density and frequency) influenced four mechanisms known to influence damage to plants (predator suppression, foraging behavior of herbivores, plant quality, and microclimate) using a response surface experimental design. An associational effect was observed between Solanum damage and the frequency of a heterospecific neighbor (Solidago altissima). Predator abundance and richness, soil moisture, and herbivore foraging strategies were all influenced by the frequency of Solidago, suggesting that these mechanisms may contribute to associational susceptibility in this interaction. Other mechanisms (microclimate and plant quality) were influenced by Solidago and total plant densities, respectively. This study showed that different mechanisms can be influenced by different components of the neighborhood and most likely interacts to influence damage to plants. I discuss the implications of these finding for agriculture and for understanding the long-term consequences of damage for plant communities. In chapter 5, I examined how herbivory, herbivore community composition, plant nutrient content, and herbivore performance varied with latitude. A longstanding theory in biogeography is that species interactions, including herbivory, are stronger in southern latitudes compared to those in the north. Because of this, the latitudinal gradients (LG) hypothesis in damage and plant defenses predicts that plants should be better defended in the tropics because selection for plant defenses is greater. Recent empirical studies suggest that the predictions from this hypothesis may be limited to a narrow range of systems (e.g. salt marshes). In efforts to understand why LG in herbivory and plant defenses are not prevalent as once thought, I examined relationships between herbivore abundance and richness, plant nutrient content, and latitude in old-field systems. I also examined latitudinal gradients in herbivore performance using generalist and specialist herbivores. Some relationships with latitude matched predictions from the LG hypothesis (e.g. plant nutrient content, damage to Solidago altissima), while others had opposite relationships (e.g. herbivore abundance and richness, damage to Solanum carolinense), and some relationships varied with leaf longevity. Herbivore responses varied with diet specialization and the exact relationship with latitude (linear, non-linear, positive, negative, or no relationship) varied with herbivore species. These results suggest that the predictions from the LG hypothesis are too simple; a more thorough investigation of relationships between herbivore abundance, damage, and plant resistance in other wide-ranging systems is needed.


Nonlinear Dynamics and Chaos

Nonlinear Dynamics and Chaos

Author: J. M. T. Thompson

Publisher: John Wiley & Sons

Published: 2002-02-15

Total Pages: 478

ISBN-13: 9780471876458

DOWNLOAD EBOOK

Ein angesehener Bestseller - jetzt in der 2.aktualisierten Auflage! In diesem Buch finden Sie die aktuellsten Forschungsergebnisse auf dem Gebiet nichtlinearer Dynamik und Chaos, einem der am schnellsten wachsenden Teilgebiete der Mathematik. Die seit der ersten Auflage hinzugekommenen Erkenntnisse sind in einem zusätzlichen Kapitel übersichtlich zusammengefasst.


Mathematical Modeling for Contrasting Dynamics of a Plant Herbivore Interaction

Mathematical Modeling for Contrasting Dynamics of a Plant Herbivore Interaction

Author: Sultanah Hadi Masmali

Publisher:

Published: 2022

Total Pages: 0

ISBN-13:

DOWNLOAD EBOOK

The Nicholas-Bailey model was designed to study population dynamics of host-parasite systems. The model was first developed by Nicholson and Bailey (1935) and applied to parasites (Encarsia Formosa) and hosts (Trialeurodes vaporariorum). These types of models are presented by discrete-time equations for biological systems that involve two species, e.g. a parasite population and its hosts. In this dissertation, we develop and then investigate a revised version of Nicholson-Bailey's discrete host-parasite model. Additionally, we incorporate and analyze the Allee effect dynamics in this newly constructed model. In Chapter one of this dissertation, we outline some background and literature. Second, we provide basic definitions of ordinary differential equations. We define several core concepts of dynamical systems including stability and instability analysis, manifold analysis, stable and unstable manifold, invariant manifold, center manifold, bifurcation, and the Lambert W function. Then we provide some known results and theorems that are useful in this research investigation. Third, we study the dynamics behavior of the newly developed system of a host-parasite model with four positive parameters in the first closed quadrant. A re-scaling procedure will be then applied to reduce the model to a two-parameter model that reproduces the entire dynamics of the original model. The model always possesses two boundary steady states and a third interior steady state may exist for particular conditions imposed on the parameters. Moreover, by applying the linearized stability function, we find thresholds for which the system is stable or unstable. We then study locally the long-term stability of steady states and center manifold theory based on the separating boundary curves for non-hyperbolic steady states, that is analyzing steady states when crossing from stable to unstable regions. We then analyze the stability for one or two parameter bifurcation (co-dimension one or two) depending on a different range of parameters, by considering the linearization of the model about each of the steady states. We show a period-doubling bifurcation occurs once the eigenvalue crosses these thresholds, leading to chaos. Numerical simulations support the results and conclusions. Fourth, we introduce the density dependence of the Allee effect and population dynamics into the model by adding a parameter to the modified system of the Nicholson-Bailey model. We then study the local stability of its steady states. Multiple bifurcation analyses of the system, including the period-doubling behavior and Neimark-Sacker bifurcation, will be analyzed. We then identify regions where the Allee effect system ultimately leads to chaos. Finally, the modified systems of the Nicholson-Bailey model and the Allee effect model are compared by analyzing different short-term and long-term dynamical behaviors and results acquired from the two systems.