The interplay of predation, competition between species and harvesting is one of the most critical aspects of the environment. This paper involves exploring the dynamics of four species' interactions. The system includes two competitive prey and two predators; the first prey is preyed on by the first predator, with the former representing an additional food source for the latter. While the second prey is not exposed to predation but rather is exposed to the harvest. The existence of possible equilibria is found. Conditions of local and global stability for the equilibria are derived. To corroborate our findings, we constructed time series to illustrate the existence and the stability of equilibria numerically by varying the different values of the system's parameters. The results show that system movement could happen around the positive equilibria, if the system stability conditions are met.
Receipt date: 2/2/2021 accepted date: 4/6/2021 Publication date: 12/31/2021
This work is licensed under a Creative Commons Attribution 4.0 International License.
The approval of the federal general budget in Iraq is one of the most important competencies of the legislative authority , Being one of the important financial and monetary policy instruments on which the state depends for its economic growth , Hence, the obstruction of the approval of the federal b
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The space occupied by the dialogic imperative in the language is a very wide range, as it is present in most of the speeches received by the recipient, and this is not limited to dialogues. That the literary discourse is a dialogical and fulfillment imperative, as the implication is related to the implicit connotations, as if the implication covers the indirect actions of the speech act theory.
The theatrical image represents one of the tools of communication with the other to create a communicative language that is produced and transmitted by the actor and his body through the theatrical space to convey the meaning in all its forms and types. The actor is concerned with the composition and construction of these images. My girl, the image is fragmented and multiple and different. Therefore, based on the foregoing, the researcher has divided his research into four chapters, representing the (methodological framework). First, the research problem, which is manifested in the following question (what is the structure of the fragmented image of the actor's performance? The Iraqi playwright), and secondly: the importance of the resea
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