Global dynamics of an amensalism system with Michaelis-Menten type harvesting

Ming Zhao; Yudan Ma; Yunfei Du; Ming Zhao; Yudan Ma; Yunfei Du

doi:10.3934/era.2023027

Electronic Research Archive

2023, Volume 31, Issue 2: 549-574. doi: 10.3934/era.2023027

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Research article

Global dynamics of an amensalism system with Michaelis-Menten type harvesting

1.
School of Science, China University of Geosciences (Beijing), Beijing 100083, China
2.
School of Basic Education, Beijing Institute of Graphic Communication, Beijing 102600, China

Received: 17 September 2022 Revised: 23 October 2022 Accepted: 31 October 2022 Published: 14 November 2022

In this work, a new amensalism system with the nonlinear Michaelis-Menten type harvesting for the second species is studied. Firstly, we clarify topological types for all possible equilibria of the system. Then, the behaviors near infinity and the existence of closed orbits as well as saddle connections of the system are discussed via bifurcation analysis, and the global phase portraits of the model are also illustrated. Finally, for the sake of comparison, we further offer a new complete global dynamics of the model without harvesting. Numerical simulations show that the system with harvesting has far richer dynamics, like preserving the extinction of the first species or approaching the steady-state more slowly. Our research will provide useful information which may help us have a better understanding to the dynamic complexity of amensalism systems with harvesting effects.

Keywords:

Citation: Ming Zhao, Yudan Ma, Yunfei Du. Global dynamics of an amensalism system with Michaelis-Menten type harvesting[J]. Electronic Research Archive, 2023, 31(2): 549-574. doi: 10.3934/era.2023027

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Abstract

Dear Editorial Board Members,

It is my pleasure to share with you the year-end report for AIMS Environmental Science. The journal went through a challenging year in the fifth year (2018). We have received 57 submissions with 27 published online (Figure 1). The most downloaded and cited papers are listed in Tables 1 and 2. The top read article received more than 4332 downloads.

Figure 1. Manuscript statistics.

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Table 1. The top 10 articles with most pdf download: (By December 31th 2018).

Title	Usages
Quantifying the local-scale ecosystem services provided by urban treed streetscapes in Bolzano, Italy	4332
Low temperature selective catalytic reduction of NOover Mn-based catalyst: A review	1417
Remote sensing of agricultural drought monitoring: A state of art review	1307
Feasibility study of a solar photovoltaic water pumping system for rural Ethiopia	1278
Biophilic architecture: a review of the rationale and outcomes	1234
Nitrate pollution of groundwater by pit latrines in developing countries	1177
Urban agriculture in the transition to low carbon cities through urban greening	1136
Climate change and land management impact rangeland condition and sage-grouse habitat in southeastern Oregon	1097
A state-and-transition simulation modeling approach for estimating the historical range of variability	1080
Effects of urban green areas on air temperature in a medium-sized Argentinian city	1033

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Table 2. The top 10 articles with most cited: (By December 31th 2018).

Title	Number
Traffic-related air pollution and brain development	14
Biophilic architecture: a review of the rationale and outcomes	11
An integrated approach to modeling changes in land use, land cover, and disturbance and their impact on ecosystem carbon dynamics: a case study in the Sierra Nevada Mountains of California	9
Nitrate pollution of groundwater by pit latrines in developing countries	9
The mechanism of kaolin clay flocculation by a cation-independent bioflocculant produced by Chryseobacterium daeguense W6	9
Enhancing water flux of thin-film nanocomposite (TFN) membrane by incorporation of bimodal silica nanoparticles	9
Linking state-and-transition simulation and timber supply models for forest biomass production scenarios	8
Climate change and land management impact rangeland condition and sage-grouse habitat in southeastern Oregon	8
Quantifying the local-scale ecosystem services provided by urban treed streetscapes in Bolzano, Italy	8
Combining state-and-transition simulations and species distribution models to anticipate the effects of climate change	8

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I would like to thank all the board members for serving on the Editorial Board and their dedication and contribution to the journal AIMS Environmental Science. The goal in 2019 is to solicit more papers and increase paper citations. We will try our best to reduce the processing time and supply with a better experience for publication. To recognize the contribution of the Editorial Board members and authors during the years, we will offer that (1) for authors invited, the article processing charge (APC) is automatically waived; (2) each editorial board member is entitled for some waivers. I am looking forward to continuing working with you to make the AIMS Environmental Science a sustainable and impactful journal. Please don't hesitate to send me e-mails if you have new ideas and suggestions to help us to achieve this goal.

Yifeng Wang, Ph.D.

Editor in Chief, AIMS Environmental Science

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