Journal
PHYSICA SCRIPTA
Volume 96, Issue 12, Pages -Publisher
IOP PUBLISHING LTD
DOI: 10.1088/1402-4896/ac1f5c
Keywords
escaping; herd behavior; Fractional-time-derivative; predator-prey system; numerical scheme
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Funding
- DGRSTD of Algeria [C00L03UN130120200004]
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This paper presents various systems that investigate the interaction between two populations, such as predator-prey interaction, mutualism interaction, and competitive interaction. The models consider the contradictory behaviors of the first population - herd behavior for some and solitary demeanor for others - and study the effects of these behaviors on the interaction between the two populations.
This paper presents various systems that investigate the interaction between two-population as predator-prey interaction, mutualism interaction, and competitive interaction. The most important assumption considered in the construction of models is to assume that the first population exhibit two contradictory behaviors herd behavior of some of them and solitary demeanor for the remainder density. This last category can be called by the escaped individuals from the flock. In the real world, it is almost impossible for any population to keep the group together all the time. Thus, we considered a proportional density of the herd that leaves it and goes in any direction. Further, the shape of the herd is considered in the construction of the model. The most important feature of the model is the study of the effect of the specific behavior of the first population in the interaction between the two mentioned populations. In this paper, a new and efficient numerical method is used to illustrate the effects of these two components.
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