scholarly journals Dynamics of a stage structure prey-predator model with ratio-dependent functional response and anti-predator behavior of adult prey

2019 ◽  
Vol 0 (0) ◽  
pp. 0-0
Author(s):  
Prabir Panja ◽  
◽  
Soovoojeet Jana ◽  
Shyamal kumar Mondal ◽  
◽  
...  
Keyword(s):  
Functional Response ◽  
Stage Structure ◽  
Ratio Dependent ◽  
Predator Model ◽  
Predator Behavior

scholarly journals The Dynamical Behavior of Stage Structured Prey-Predator Model in the Harvesting and Toxin Presence

2019 ◽  
Vol 54 (6) ◽  
Author(s):  
Azhar Abbas Majeed ◽  
Moayad H. Ismaeel
Keyword(s):  
Mathematical Model ◽  
Functional Response ◽  
Lyapunov Functions ◽  
Numerical Models ◽  
Dynamical Behavior ◽  
Stage Structure ◽  
Suggested Model ◽  
Final Point ◽  
Predator Model ◽  
Predator System

In this study, a mathematical model that consists of a form of prey-predator system with stage structure in the presence of harvesting and toxicity has been proposed and studied by using the classic Lotka-Volterra functional response. The presence, uniqueness, and boundedness resolution of the suggested model are discussed. The steadiness enquiries of all possible stability points tare studied. The global steadiness of these stability points are accomplished by fitting Lyapunov functions. As a final point, numerical models are put through not just for conforming tthe hypothetical results attained, but also to demonstrate the influences of distinction of each factor on the suggested paradigm.

scholarly journals Investigation on dynamics of an impulsive predator–prey system with generalized Holling type IV functional response and anti-predator behavior

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Sekson Sirisubtawee ◽  
Nattawut Khansai ◽  
Akapak Charoenloedmongkhon
Keyword(s):  
Periodic Solution ◽  
Functional Response ◽  
Impulsive Control ◽  
Positive Periodic Solution ◽  
Existence Condition ◽  
Predator Prey ◽  
Type Iv ◽  
Prey System ◽  
Existence And Stability ◽  
Predator Behavior

AbstractIn the present article, we propose and analyze a new mathematical model for a predator–prey system including the following terms: a Monod–Haldane functional response (a generalized Holling type IV), a term describing the anti-predator behavior of prey populations and one for an impulsive control strategy. In particular, we establish the existence condition under which the system has a locally asymptotically stable prey-eradication periodic solution. Violating such a condition, the system turns out to be permanent. Employing bifurcation theory, some conditions, under which the existence and stability of a positive periodic solution of the system occur but its prey-eradication periodic solution becomes unstable, are provided. Furthermore, numerical simulations for the proposed model are given to confirm the obtained theoretical results.

scholarly journals On a Periodic Predator-Prey System with Holling III Functional Response and Stage Structure for Prey

2010 ◽  
Vol 2010 ◽  
pp. 1-12
Author(s):  
Xiangzeng Kong ◽  
Zhiqin Chen ◽  
Li Xu ◽  
Wensheng Yang
Keyword(s):  
Functional Response ◽  
Prey Species ◽  
Necessary Conditions ◽  
Stage Structure ◽  
Predator Prey ◽  
Prey System ◽  
Sufficient And Necessary Conditions ◽  
Holling Iii Functional Response

We propose and study the permanence of the following periodic Holling III predator-prey system with stage structure for prey and both two predators which consume immature prey. Sufficient and necessary conditions which guarantee the predator and the prey species to be permanent are obtained.

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