dc.contributor.author | Al-Sharawi, Ziyad | |
dc.contributor.author | Amleh, Amal | |
dc.date.accessioned | 2020-06-15T04:49:53Z | |
dc.date.available | 2020-06-15T04:49:53Z | |
dc.date.issued | 2017 | |
dc.identifier.citation | AlSharawi, Z., & Amleh, A. (2017). The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model. Mathematical Methods in the Applied Sciences, 40(18), 6747–6759. https://doi.org/10.1002/mma.4487 | en_US |
dc.identifier.issn | 1099-1476 | |
dc.identifier.uri | http://hdl.handle.net/11073/16702 | |
dc.description.abstract | In this paper, we study a general discrete–time model representing the dynamics of a contest competition species with constant effort exploitation. In particular, we consider the difference equation xn+1 = xnf(xn−k) − hxn where h > 0, k ∈ {0, 1}, and the density dependent function f satisfies certain conditions that are typical of a contest competition. The harvesting parameter h is considered as the main parameter and its effect on the general dynamics of the model is investigated. In the absence of delay in the recruitment (k = 0), we show the effect of h on the stability, the maximum sustainable yield, the persistence of solutions and how the intraspecific competition change from contest to scramble competition. When the delay in recruitment is one (k = 1), we show that a Neimark–Sacker bifurcation occurs, and the obtained invariant curve is supercritical. Furthermore, we give a characterization of the persistent set. | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | Wiley | en_US |
dc.relation.uri | https://doi.org/10.1002/mma.4487 | en_US |
dc.subject | Contest competition | en_US |
dc.subject | Scramble competition | en_US |
dc.subject | Neimark-Sacker bifurcation | en_US |
dc.subject | Persistence | en_US |
dc.title | The impact of constant effort harvesting on the dynamics of a discrete-time contest competition model | en_US |
dc.type | Peer-Reviewed | en_US |
dc.type | Article | en_US |
dc.type | Preprint | en_US |
dc.identifier.doi | 10.1002/mma.4487 | |