The analytical solutions of the harvesting Verhulst’s evolution equation
Author
Abstract
Suggested Citation
DOI: 10.1016/j.ecolmodel.2017.06.021
Download full text from publisher
As the access to this document is restricted, you may want to search for a different version of it.
References listed on IDEAS
- Safuan, Hamizah M. & Jovanoski, Zlatko & Towers, Isaac N. & Sidhu, Harvinder S., 2013. "Exact solution of a non-autonomous logistic population model," Ecological Modelling, Elsevier, vol. 251(C), pages 99-102.
- V.I. Yukalov & E.P. Yukalova & D. Sornette, "undated". "Punctuated Evolution due to Delayed Carrying Capacity," Working Papers CCSS-09-004, ETH Zurich, Chair of Systems Design.
- Thornley, John H.M. & Shepherd, John J. & France, J., 2007. "An open-ended logistic-based growth function: Analytical solutions and the power-law logistic model," Ecological Modelling, Elsevier, vol. 204(3), pages 531-534.
Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
Cited by:
- Cortés, J.-C. & Moscardó-García, A. & Villanueva, R.-J., 2022. "Uncertainty quantification for hybrid random logistic models with harvesting via density functions," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
Most related items
These are the items that most often cite the same works as this one and are cited by the same works as this one.- Cortés, J.-C. & Moscardó-García, A. & Villanueva, R.-J., 2022. "Uncertainty quantification for hybrid random logistic models with harvesting via density functions," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
- Thornley, John H.M. & France, James, 2013. "Use of growth functions to describe disease vector population dynamics—Additional assumptions are required and are important," Ecological Modelling, Elsevier, vol. 266(C), pages 97-102.
- Han, Yong & Sun, Zhiyu & Fang, Hongwei & Bai, Sen & Huang, Lei & He, Guojian, 2020. "Habitat succession of the Yangtze finless porpoise in Poyang Lake under the changing hydrodynamic and feeding environment," Ecological Modelling, Elsevier, vol. 424(C).
- Nguyen Tien, Dung, 2013. "The existence of a positive solution for a generalized delay logistic equation with multifractional noise," Statistics & Probability Letters, Elsevier, vol. 83(4), pages 1240-1246.
- Moriguchi, Kai, 2018. "An approach for deriving growth equations for quantities exhibiting cumulative growth based on stochastic interpretation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 490(C), pages 1150-1163.
- Shi, Pei-Jian & Men, Xing-Yuan & Sandhu, Hardev S. & Chakraborty, Amit & Li, Bai-Lian & Ou-Yang, Fang & Sun, Yu-Cheng & Ge, Feng, 2013. "The “general” ontogenetic growth model is inapplicable to crop growth," Ecological Modelling, Elsevier, vol. 266(C), pages 1-9.
- Pati, N.C. & Ghosh, Bapan, 2022. "Delayed carrying capacity induced subcritical and supercritical Hopf bifurcations in a predator–prey system," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 195(C), pages 171-196.
- Barker, Daniel & Sibly, Richard M., 2008. "The effects of environmental perturbation and measurement error on estimates of the shape parameter in the theta-logistic model of population regulation," Ecological Modelling, Elsevier, vol. 219(1), pages 170-177.
- Shi, Pei-Jian & Fan, Mei-Ling & Ratkowsky, David A. & Huang, Jian-Guo & Wu, Hsin-I & Chen, Lei & Fang, Shui-Yuan & Zhang, Chun-Xia, 2017. "Comparison of two ontogenetic growth equations for animals and plants," Ecological Modelling, Elsevier, vol. 349(C), pages 1-10.
More about this item
Keywords
Verhulst; Non-autonomous; Modeling; Dependence on parameters; Analytical solutions;All these keywords.
Statistics
Access and download statisticsCorrections
All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:ecomod:v:360:y:2017:i:c:p:189-193. See general information about how to correct material in RePEc.
If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.
If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .
If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/ecological-modelling .
Please note that corrections may take a couple of weeks to filter through the various RePEc services.