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A Stage-structure Leslie-Gower Model with Linear Harvesting and Disease in Predator

Jambura Journal of Biomathematics (JJBM) · Vol. ume (2023)

DOI
10.37905/jjbm.v4i2.22047
ISSN
2723-0317
Terbit
2023-12-31
Penerbit
Department of Mathematics, Universitas Negeri Gorontalo
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-nc/4.0

Abstrak

The growth dynamics of various species are affected by various aspects. Harvesting interventions and the spread of disease in species are two important aspects that affect population dynamics and it can be studied. In this work, we consider a stage-structure Leslie–Gower model with linear harvesting on the both prey and predator. Additionally, we also consider the infection aspect in the predator population. The population is divided into four subpopulations: immature prey, mature prey, susceptible predator, and infected predator. We analyze the existences and stabilities of feasible equilibrium points. Our results shown that the harvesting in prey and the disease in predator impacts the behavioral of system. The situation in the system is more complex due to disease in the predator population. Some numerical simulations are given to confirm our results.

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  • Universitas Pattimura
  • Sekolah Tinggi Ilmu Kesehatan Pasapua Ambon
  • University of Medical Sciences, Ondo
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Rekan penulisOrganisasiArtikel bersama
Venn Yan Ishak IlwaruUniversitas Pattimura12
Mozart Winston TalakuaUniversitas Pattimura9
Berny Pebo TomasouwUniversitas Pattimura6
Henry Junus WattimanelaUniversitas Pattimura4
Olumuyiwa James PeterUniversity of Medical Sciences, Ondo4
Maryone SaijaSekolah Tinggi Ilmu Kesehatan Pasapua Ambon3
Ferry Kondo LembangUniversitas Pattimura3
Eunike M. SahetapyUniversitas Pattimura3
Lexy Janzen SinayUniversitas Pattimura3
Elvinus R. PersulessyUniversitas Pattimura3
Salmon Notje AuleleUniversitas Pattimura2
Henry W. M. PattyUniversitas Pattimura2
Marlon Stivo Noya Van DelsenUniversitas Pattimura2
RUDY WOLTER MATAKUPANUniversitas Pattimura1
Thomas PenturyUniversitas Pattimura1
Freya N. WattimenaUniversitas Pattimura1
Gresyea L. MarcusUniversitas Pattimura1
Ade M. TelussaUniversitas Pattimura1
Sandro LawalattaUniversitas Pattimura1
Victor LekatompessyAfiliasi tidak diketahui1
Trifena L. WasilaineUniversitas Pattimura1
F. S. TututparyUniversitas Pattimura1
Antonia E. WokanubunUniversitas Pattimura1
Sitri YuniUniversitas Pattimura1
Yuniasih MJ TaihuttuUniversitas Pattimura1
M. H. HahuryUniversitas Pattimura1
Safriyani TomiaUniversitas Pattimura1
Christy TahyaUniversitas Pattimura1
Serly SurlialyUniversitas Pattimura1
Chevano Bill PattipeilohyUniversitas Pattimura1
Vanbasten TemartenanUniversitas Pattimura1
Vilomina EnusUniversitas Pattimura1
Susantri SaputriUniversitas Pattimura1
A. W. TalutaUniversitas Pattimura1

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Sumber metadata: OAI-PMH (metadata jurnal) http://ejurnal.ung.ac.id/index.php/JJBM/oai, pertama di-harvest 9 Nov 2026, terakhir terlihat 9 Nov 2026.
Metadata asli (oai_dc) 
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	<dc:title xml:lang="en-US">A Stage-structure Leslie-Gower Model with Linear Harvesting and Disease in Predator</dc:title>
	<dc:creator>Beay, Lazarus Kalvein</dc:creator>
	<dc:creator>Leleury, Zeth Arthur</dc:creator>
	<dc:creator>Rijoly, Monalisa E.</dc:creator>
	<dc:creator>Lesnussa, Yopi Andry</dc:creator>
	<dc:creator>Wattimena, Abraham Zacaria</dc:creator>
	<dc:creator>Rahakbauw, Dorteus Lodewyik</dc:creator>
	<dc:subject xml:lang="en-US">Leslie-Gower model; Stage–structure; Linear harvesting; Diseases.</dc:subject>
	<dc:description xml:lang="en-US">The growth dynamics of various species are affected by various aspects. Harvesting interventions and the spread of disease in species are two important aspects that affect population dynamics and it can be studied. In this work, we consider a stage-structure Leslie–Gower model with linear harvesting on the both prey and predator. Additionally, we also consider the infection aspect in the predator population. The population is divided into four subpopulations: immature prey, mature prey, susceptible predator, and infected predator. We analyze the existences and stabilities of feasible equilibrium points. Our results shown that the harvesting in prey and the disease in predator impacts the behavioral of system. The situation in the system is more complex due to disease in the predator population. Some numerical simulations are given to confirm our results.</dc:description>
	<dc:publisher xml:lang="en-US">Department of Mathematics, Universitas Negeri Gorontalo</dc:publisher>
	<dc:contributor xml:lang="en-US"></dc:contributor>
	<dc:date>2023-12-31</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:type xml:lang="en-US">Peer-reviewed Article</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/22047</dc:identifier>
	<dc:identifier>10.37905/jjbm.v4i2.22047</dc:identifier>
	<dc:source xml:lang="en-US">Jambura Journal of Biomathematics (JJBM); Volume 4, Issue 2: December 2023; 155–163</dc:source>
	<dc:source>2723-0317</dc:source>
	<dc:source>10.37905/jjbm.v4i2</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ejurnal.ung.ac.id/index.php/JJBM/article/view/22047/8079</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Lazarus Kalvein Beay, Zeth Arthur Leleury, Monalisa E. Rijoly, Yopi Andry Lesnussa, Abraham Zacaria Wattimena, Dorteus Lodewyik Rahakbauw</dc:rights>
	<dc:rights xml:lang="en-US">https://creativecommons.org/licenses/by-nc/4.0</dc:rights>
</oai_dc:dc>