Logistic种群收获模型

Logistic种群收获模型

true

Contributor(s)

Initial contribute: 2018-12-04

Authorship

:  
岳天祥编著
:  
yue@lreis.ac.cn
:  
View
Is authorship not correct? Feed back

Classification(s)

Method-focused categoriesProcess-perspectiveBiological process calculation

Detailed Description

Chinese {{currentDetailLanguage}} Chinese

Logistic种群收获模型

    1)收获时的种群系统可以由下面的方程描述:

式中,是系统的个体数;t是时间;k是一个正常数;u是一个未知的非负控制变量。

收获的生态和经济成本由下面的函数描述:

式中,是一个非负值的关于的未知函数;c是一个已知正常数。

2)定义一个Liapunov函数:

的变化率为:

3)根据最佳稳定性理论,我们建立了下面的表达式:

4)根据Krasovskii的最佳稳定性定理,当时,表达式达到最小值0,最优化控制满足方程:

一种解法为:

未知函数为:

成本函数变为:

 

 

参考文献

    Gopalsamy Klogistic种群模型中的最优稳定性和收获。Ecological Modelling198011

Model Metadata

Name {{metadata.overview.name}}
Version {{metadata.overview.version}}
Model Type {{metadata.overview.modelType}}
Model Domain
{{domain}}
Sacle {{metadata.overview.scale}}

There is no overview about this model. You can click to add overview.

Purpose {{metadata.design.purpose}}
Principles
{{principle}}
Incorporated Models
{{incorporatedModel}}
Model part of larger framework: {{metadata.design.framework}}
Incorporated Models
{{process}}

There is no design info about this model. You can click to add overview.

Information {{metadata.usage.information}}
Initialization {{metadata.usage.initialization}}
Hardware Requirements {{metadata.usage.hardware}}
Software Requirements {{metadata.usage.software}}
Inputs
{{input}}
Outputs
{{output}}

There is no usage info about this model. You can click to add overview.

{{htmlJSON.HowtoCite}}

《资源环境数学模型手册》 (2018). Logistic种群收获模型, Model Item, OpenGMS, https://geomodeling.njnu.edu.cn/modelItem/980f0557-857a-4412-ac44-1fed0c449987
{{htmlJSON.Copy}}

History

Last modifier
wu kai
Last modify time
2020-12-02
Modify times
View History

Contributor(s)

Initial contribute : 2018-12-04

{{htmlJSON.CoContributor}}

Authorship

:  
岳天祥编著
:  
yue@lreis.ac.cn
:  
View
Is authorship not correct? Feed back

History

Last modifier
wu kai
Last modify time
2020-12-02
Modify times
View History

QR Code

×

{{curRelation.overview}}
{{curRelation.author.join('; ')}}
{{curRelation.journal}}









{{htmlJSON.RelatedItems}}

{{htmlJSON.LinkResourceFromRepositoryOrCreate}}{{htmlJSON.create}}.

Drop the file here, orclick to upload.
Select From My Space
+ add

{{htmlJSON.authorshipSubmitted}}

Cancel Submit
{{htmlJSON.Cancel}} {{htmlJSON.Submit}}
{{htmlJSON.Localizations}} + {{htmlJSON.Add}}
{{ item.label }} {{ item.value }}
{{htmlJSON.ModelName}}:
{{htmlJSON.Cancel}} {{htmlJSON.Submit}}
Name:
Version:
Model Type:
Model Domain:
Scale:
Purpose:
Principles:
Incorporated models:

Model part of

larger framework

Process:
Information:
Initialization:
Hardware Requirements:
Software Requirements:
Inputs:
Outputs:
{{htmlJSON.Cancel}} {{htmlJSON.Submit}}
Title Author Date Journal Volume(Issue) Pages Links Doi Operation
{{htmlJSON.Cancel}} {{htmlJSON.Submit}}
{{htmlJSON.Add}} {{htmlJSON.Cancel}}

{{articleUploading.title}}

Authors:  {{articleUploading.authors[0]}}, {{articleUploading.authors[1]}}, {{articleUploading.authors[2]}}, et al.

Journal:   {{articleUploading.journal}}

Date:   {{articleUploading.date}}

Page range:   {{articleUploading.pageRange}}

Link:   {{articleUploading.link}}

DOI:   {{articleUploading.doi}}

Yes, this is it Cancel

The article {{articleUploading.title}} has been uploaded yet.

OK
{{htmlJSON.Cancel}} {{htmlJSON.Confirm}}