Journals Information
Universal Journal of Applied Mathematics Vol. 1(4), pp. 251 - 257
DOI: 10.13189/ujam.2013.010408
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Prey-predator Dynamics under Herd Behavior of Prey
S. N. Matia , S. Alam *
Department of Mathematics,Bengal Engineering and Science University, Shibpur,P.O. Botanic Garden, Howrah - 711 103, India
ABSTRACT
In prey-predator system prey populations take various defensive mechanism to save themselves from predator and/or to get advantage in inter-species competition. In this work, we analyzed the dynamics of preypredator system with two prey species and single predator population in which two prey populations are fighting for the same resources. Here, it is assumed that one prey population exhibits herd behavior as their own defense mechanism and second prey population releases toxin elements which give them advantage of inter-species competition. From the analysis of our model we observed that the strategy of herd behavior as self defense mechanism is stronger than the toxin producing strategy. Also due to herd behavior of prey the model shows ecologically meaningful dynamics near origin.
KEYWORDS
Prey-predator Model, Herd behavior of prey, Inter-species competition, Square root functional responses
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] S. N. Matia , S. Alam , "Prey-predator Dynamics under Herd Behavior of Prey," Universal Journal of Applied Mathematics, Vol. 1, No. 4, pp. 251 - 257, 2013. DOI: 10.13189/ujam.2013.010408.
(b). APA Format:
S. N. Matia , S. Alam (2013). Prey-predator Dynamics under Herd Behavior of Prey. Universal Journal of Applied Mathematics, 1(4), 251 - 257. DOI: 10.13189/ujam.2013.010408.