Dynamics of a three species ratio-dependent food chain model with intra-specific competition within the top predator

Ali, Nida; Haque, Mainul; Venturino, Ezio; Chakravarty, S.

doi:10.1016/j.compbiomed.2017.04.007

Cited by 33 publications

(14 citation statements)

References 71 publications

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“…Dengan memadukan dua aspek di atas yaitu aspek kompetisi antar pemangsa dan pemanenan, maka dinamika populasi dapat dinyatakan dalam suatu model. Selain kompetisi antar pemangsa (kompetisi interspesifik) aspek menarik lainnya adalah kompetisi antar spesies dalam satu populasi (kompetisi intraspesifik), [3] mengkaji model tiga populasi dalam rantai makanan dengan kompetisi intraspesifik.…”

Section: Pendahuluanunclassified

Analisis Kestabilan Model Mangsa Pemangsa dengan Pemanenan Ambang Batas pada Populasi Pemangsa

Yusrianto¹,

Toaha

Kasbawati

2019

JMSK

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Abstrak Penelitian ini mengkaji model satu mangsa dan satu pemangsa yang saling berkompetisi. Fungsi predasi dari pemangsa diasumsikan menggunakan fungs1 respon Holling tipe II. Dengan asumsi bahwa adanya kompetisi intraspesifik pada popuasi pemangsa serta dilakukan pemanenan ambang batas pada popuasi pemangsa. Pada model tersebut dilakukan analisis tentang syarat kewujudan dan kestabilan titik keseimbangan interior. Analisis kestabilan titik keseimbangan interior dilakukan dengan metode linearisasi dan dengan memperhatikan nilai eigen dari matriks Jacobi yang diperoleh. Terdapat sepuluh titik kesetimbangan yang diperoleh pada model, satu diantaranya dapat dinterpretasikan. Titik tersebut dinyatakan stabil asimtotik. Berdasarkan hasil anasis menggunakan beberapa parameter, diketahui bahwa ada suatu waktu pemanenan ambang batas harus dihentikan karna sudah tidak memenuhi syarat kriteria ambang batas yang telah ditentukan.Kata kunci : Model mangsa pemangsa, Pemanenan ambang batas, Titik kesetimbanganAbstract This study examines the model of one prey and one predator who mutates each other. The predation function of predators is assumed to use the Holling type II response function. Assuming that the existence of intraspecific competition in predatory population and theshold harvesting for predatory population is carried out. In this model, an analysis of the actual conditions and stability of the interior balance point is carried out. Analysis of the interior stability balance points was carried out by linearization method and by taking into account the eigenvalues of the Jacobian matrix obtained. There are ten equilibrium points of engagement obtained on the model, one of which can be interpreted. This point is stated as asymptotically stable. Based on the results of analysis using several parameters, it is known that there is a time when harvesting the threshold must be stopped because it has not fulfill the specified criteria for threshold.Keyword : Prey-predator model threshold harvesting, equibrium point

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Section: Pendahuluanunclassified

Analisis Kestabilan Model Mangsa Pemangsa dengan Pemanenan Ambang Batas pada Populasi Pemangsa

Yusrianto¹,

Toaha

Kasbawati

2019

JMSK

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“…The development and mathematical analysis of a model of the dynamics of three species food‐chain with intraspecific competition of the top predator is discussed in Ali, Haque, Venturino, and Chakravarty (). An agent‐based computational framework for simulation of competing hostile planet‐wide populations is introduced in Zohdi ().…”

Section: Related Workmentioning

confidence: 99%

Multi‐agent modelling and simulation of graph‐based predator–prey dynamic systems: A BDI approach

et al. 2018

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We propose a new framework based on Belief‐Desire‐Intention multi‐agent systems for the macroscopic modelling and simulation of continuous dynamic systems. The main idea is to break down the target system model into a collection of autonomous and loosely coupled interacting components endowed with clean message‐based interfaces and local intelligence. Each component is then mapped to a Belief‐Desire‐Intention agent that captures its state as a set of logical facts and its behavioural patterns as a set of plans. The system model can be described as a multi‐agent programme that is specified using the state‐of‐the‐art Jason agent‐oriented programming language. The approach is evaluated by considering a generalized graph‐based model of predator–prey systems. Our approach supports the configuration of the multi‐agent model with various differential equations integration methods, as required by the specific problem.

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“…(Note that “C = S + I” does not include resistant cells without receptors for viral entry or stromal cells not targeted by OV.) Such SI models evolved from ecological population dynamics, e.g., food chain [ 91 ] (predator, prey, and top-predator) first used for infectious diseases (reviewed in [ 92 ]) then eventually for viruses as early as 1996 by Nowak and Bangham [ 93 ]. In 1995, Gatenby modeled cancer as a population competing with normal cells [ 94 ].…”

Section: Mathematical Modeling Of Infection: Susceptible and Infecmentioning

confidence: 99%

Fighting Cancer with Mathematics and Viruses

Santiago

Heidbuechel

Kandell

et al. 2017

Viruses

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After decades of research, oncolytic virotherapy has recently advanced to clinical application, and currently a multitude of novel agents and combination treatments are being evaluated for cancer therapy. Oncolytic agents preferentially replicate in tumor cells, inducing tumor cell lysis and complex antitumor effects, such as innate and adaptive immune responses and the destruction of tumor vasculature. With the availability of different vector platforms and the potential of both genetic engineering and combination regimens to enhance particular aspects of safety and efficacy, the identification of optimal treatments for patient subpopulations or even individual patients becomes a top priority. Mathematical modeling can provide support in this arena by making use of experimental and clinical data to generate hypotheses about the mechanisms underlying complex biology and, ultimately, predict optimal treatment protocols. Increasingly complex models can be applied to account for therapeutically relevant parameters such as components of the immune system. In this review, we describe current developments in oncolytic virotherapy and mathematical modeling to discuss the benefit of integrating different modeling approaches into biological and clinical experimentation. Conclusively, we propose a mutual combination of these research fields to increase the value of the preclinical development and the therapeutic efficacy of the resulting treatments.

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Dynamics of a three species ratio-dependent food chain model with intra-specific competition within the top predator

Cited by 33 publications

References 71 publications

Analisis Kestabilan Model Mangsa Pemangsa dengan Pemanenan Ambang Batas pada Populasi Pemangsa

Analisis Kestabilan Model Mangsa Pemangsa dengan Pemanenan Ambang Batas pada Populasi Pemangsa

Multi‐agent modelling and simulation of graph‐based predator–prey dynamic systems: A BDI approach

Fighting Cancer with Mathematics and Viruses

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