A dynamic model for the ideal-free distribution as a partial differential equation

2005 ◽  
Vol 67 (2) ◽  
pp. 101-108 ◽  
Author(s):  
Chris Cosner
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Dynamic Model ◽  
Ideal Free Distribution ◽  
Partial Differential ◽  
Free Distribution ◽  
Ideal Free ◽  
The Ideal

scholarly journals The Boundary Proportion Differential Control Method of Micro-Deformable Manipulator with Compensator Based on Partial Differential Equation Dynamic Model

Micromachines ◽  
2021 ◽  
Vol 12 (7) ◽  
pp. 799
Author(s):  
Xiangli Pei ◽  
Ying Tian ◽  
Minglu Zhang ◽  
Ruizhuo Shi
Keyword(s):  
Differential Equation ◽  
Partial Differential Equation ◽  
Dynamic Model ◽  
Control Method ◽  
System Modeling ◽  
Working Environment ◽  
Partial Differential ◽  
External Interference ◽  
Differential Control ◽  
Differential Control Method

It is challenging to accurately judge the actual end position of the manipulator—regarded as a rigid body—due to the influence of micro-deformation. Its precise and efficient control is a crucial problem. To solve the problem, the Hamilton principle was used to establish the partial differential equation (PDE) dynamic model of the manipulator system based on the infinite dimension of the working environment interference and the manipulator space. Hence, it resolves the common overflow instability problem in the micro-deformable manipulator system modeling. Furthermore, an infinite-dimensional radial basis function neural network compensator suitable for the dynamic model was proposed to compensate for boundary and uncertain external interference. Based on this compensation method, a distributed boundary proportional differential control method was designed to improve control accuracy and speed. The effectiveness of the proposed model and method was verified by theoretical analysis, numerical simulation, and experimental verification. The results show that the proposed method can effectively improve the response speed while ensuring accuracy.

Foraging behaviour in tadpoles of the bronze frogRana temporalis: Experimental evidence for the ideal free distribution

2004 ◽  
Vol 29 (2) ◽  
pp. 201-207 ◽  
Author(s):  
Dheeraj K. Veeranagoudar ◽  
Bhagyashri A. Shanbhag ◽  
Srinivas K. Saidapur
Keyword(s):  
Experimental Evidence ◽  
Foraging Behaviour ◽  
Ideal Free Distribution ◽  
Free Distribution ◽  
Ideal Free ◽  
The Ideal

Aggregation and the `Ideal Free' Distribution

10.2307/4456 ◽  
1983 ◽  
Vol 52 (3) ◽  
pp. 821 ◽  
Author(s):  
William J. Sutherland
Keyword(s):  
Ideal Free Distribution ◽  
Free Distribution ◽  
Ideal Free ◽  
The Ideal

scholarly journals Modeling Incipient Use of Neolithic Cultigens by Taiwanese Foragers: Perspectives from Niche Variation Theory, the Prey Choice Model, and the Ideal Free Distribution

Quaternary ◽  
2020 ◽  
Vol 3 (3) ◽  
pp. 26
Author(s):  
Pei-Lin Yu
Keyword(s):  
Choice Model ◽  
Ideal Free Distribution ◽  
Variation Theory ◽  
Prey Choice ◽  
Encounter Rates ◽  
Free Distribution ◽  
Niche Variation ◽  
Native Populations ◽  
Ideal Free ◽  
The Ideal

The earliest evidence for agriculture in Taiwan dates to about 6000 years BP and indicates that farmer-gardeners from Southeast China migrated across the Taiwan Strait. However, little is known about the adaptive interactions between Taiwanese foragers and Neolithic Chinese farmers during the transition. This paper considers theoretical expectations from human behavioral ecology based models and macroecological patterning from Binford’s hunter-gatherer database to scope the range of responses of native populations to invasive dispersal. Niche variation theory and invasion theory predict that the foraging niche breadths will narrow for native populations and morphologically similar dispersing populations. The encounter contingent prey choice model indicates that groups under resource depression from depleted high-ranked resources will increasingly take low-ranked resources upon encounter. The ideal free distribution with Allee effects categorizes settlement into highly ranked habitats selected on the basis of encounter rates with preferred prey, with niche construction potentially contributing to an upswing in some highly ranked prey species. In coastal plain habitats preferred by farming immigrants, interactions and competition either reduced encounter rates with high ranked prey or were offset by benefits to habitat from the creation of a mosaic of succession ecozones by cultivation. Aquatic-focused foragers were eventually constrained to broaden subsistence by increasing the harvest of low ranked resources, then mobility-compatible Neolithic cultigens were added as a niche-broadening tactic. In locations less suitable for farming, fishing and hunting continued as primary foraging tactics for centuries after Neolithic arrivals. The paper concludes with a set of evidence-based archaeological expectations derived from these models.

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