A novel mechanism measurement of predator interference in predator-prey models

被引:5
作者
Alebraheem, Jawdat [1 ]
Abu-Hassan, Yahya [2 ]
机构
[1] Majmaah Univ, Coll Sci Al Zulfi, Dept Math, Al Majmaah 11952, Saudi Arabia
[2] Univ Sains Malaysia, Sch Math Sci, George Town, Malaysia
关键词
Predator-prey model; Prey dependent function response; Competition; Predator interference; HOLLING TYPE-II; FUNCTIONAL-RESPONSES; DYNAMICS; SYSTEM; REFUGE;
D O I
10.1007/s00285-023-01914-8
中图分类号
Q [生物科学];
学科分类号
07 ; 0710 ; 09 ;
摘要
A characteristic of ecosystems is the existence of manifold of independencies which are highly complex. Various mathematical models have made considerable contributions in gaining a better understanding of the predator-prey interactions. The main components of any predator-prey models are, firstly, how the different population classes grow and secondly, how the prey and predator interacts. In this paper, the two populations' growth rates obey the logistic law and the carrying capacity of the predator depends on the available number of prey are considered. Our aim is to clarify the relationship between models and Holling types functional and numerical responses in order to gain insights into predator interferences and to answer an important question how competition is carried out. We consider a predator-prey model and a two-predator one-prey model to explain the idea. The novel approach is explained for the mechanism measurement of predator interference through depending on numerical response. Our approach gives good correspondence between an important real data and computer simulations.
引用
收藏
页数:10
相关论文
共 51 条
[1]   Functional and Numerical Response in Prey-Predator System [J].
Abu Hasan, Y. ;
Alebraheem, J. .
SYMPOSIUM ON BIOMATHEMATICS, 2015, 1651 :3-11
[2]  
Alebraheem J., 2012, Applied Mathematical Sciences, V6, P943
[3]  
Alebraheem J., 2013, RES J APPL SCI, V8, P286
[4]  
Alebraheem J., 2016, Sci. Int, V28, P2357
[5]  
Alebraheem J, 2012, P 2012A INT C STAT S, DOI [10.1109/ICSSBE.2012.6396618, DOI 10.1109/ICSSBE.2012.6396618]
[6]   Dynamics of a Predator-Prey Model with the Effect of Oscillation of Immigration of the Prey [J].
Alebraheem, Jawdat .
DIVERSITY-BASEL, 2021, 13 (01) :1-21
[7]   Relationship between the Paradox of Enrichment and the Dynamics of Persistence and Extinction in Prey-Predator Systems [J].
Alebraheem, Jawdat .
SYMMETRY-BASEL, 2018, 10 (10)
[8]   Dynamics of a two predator-one prey system [J].
Alebraheem, Jawdat ;
Abu Hasan, Yahya .
COMPUTATIONAL & APPLIED MATHEMATICS, 2014, 33 (03) :767-780
[9]  
Alebraheem Jawdat, 2011, Journal of Applied Sciences, V11, P3717
[10]   Global dynamics of a modified Leslie-Gower predator-prey model with Crowley-Martin functional responses [J].
Ali N. ;
Jazar M. .
Journal of Applied Mathematics and Computing, 2013, 43 (1-2) :271-293