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Prey-Predator Model of Holling Type II Functional Response with Disease on Both Species
This paper examined an eco-epidemiological mathematical model for prey predator interaction. A deterministic model is proposed and analyzed...
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Mechanistic Modeling
This chapter complements the chapter on empirical modeling by providing a broad introduction to mechanistic modeling. The first two sections present...
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Effect of multiple gestation delays in a prey–predator food chain system with infected class of prey
This article investigates a tri-trophic food chain model with the epidemic at the bottom level (prey) and gestation delays for the next two levels(...
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Hopf Bifurcation Analysis of a Predator–Prey Model with Prey Refuge and Fear Effect Under Non-diffusion and Diffusion
In this paper, we propose a predator–prey model with prey refuge and fear effect under non-diffusion and diffusion. For the non-diffusion ODE model,...
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Stability and Bifurcation Analysis of Hassell–Varley Prey–Predator System with Fear Effect
In this work, we study a prey–predator system with Hassell–Varley functional response, which is a predator-dependent functional response. Our goal is...
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Mathematical Study About a Predator–Prey Model with Anti-predator Behavior
Species use their defense mechanisms to fight, kill or escape from predators. Each species shows its unique defense mechanism to avoid the predation....
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A Comparison Study of Predator–Prey Model in Deterministic and Stochastic Environments with the Impacts of Fear and Habitat Complexity
In theoretical ecology, recent field experiments on terrestrial vertebrates observe that the predator–prey interaction can not only be curtailed by...
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Unbounded Asymmetric Stationary Solutions of Lattice Nagumo Equations
In this paper we provide a complete characterization of a class of unbounded asymmetric stationary solutions of the lattice Nagumo equations. We show...
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On the Convergence of Prey Predator Algorithm
Unlike their success in solving complex and difficult problems, there is a lack of proper mathematical analysis and discussion of metaheuristic...
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Mathematical Modelling in Health, Social and Applied Sciences
This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences,...
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Existence of Positive Solutions for a Population Model Involving Nonlocal Operator
By using the method of sub- and supersolutions, we study the existence of positive solutions for a class of singular nonlinear semipositone systems...
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The Influence of Fear on Intraspecific Competition in Predator-Prey Dynamics: A Model-Based Study
The study explores the impact of fear levels and intra-species competition on the predator-prey system’s dynamics. High fear levels or competition...
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Ecological Effects of Predator Harvesting and Environmental Noises on Oceanic Coral Reefs
Coral reefs provide refuge for prey and are important for the preservation of an oceanic ecosystem. However, they have been experiencing severe...
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Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model
In this work, the Hopf and Bogdanov–Takens bifurcations of a delayed Bazykin predator–prey model with predator intraspecific interactions and...
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Impact of Prey Refuge in a Diffusive Prey Predator Model with Prey Harvesting, Mutually Interfering Predator and Additional Food for Predator
In this paper, various patterns in a predator–prey system with prey refuge are investigated where mutually interfering predator, prey harvesting, and...
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Implementation of the Functional Response in Marine Ecosystem: A State-of-the-Art Plankton Model
In this article, we apply different functional responses to introduce new mathematical feature in marine ecosystem. Strength of phytoplankton refuge...
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Bio-economic Prey–Predator Fishery Model with Intratrophic Predation, Time Delay in Reserved and Unreserved Area
In this paper, we have studied the dynamics of a fishery system by dividing the marine aquatic environment in two zones, one is free fishing zone...
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Comparative Study of Deterministic and Stochastic Predator Prey System Incorporating a Prey Refuge
The goal of this research is to investigate the dynamical behaviour of a predator-prey system with Holling II functional response in a systematic...
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Aposematic signalling in prey-predator systems: determining evolutionary stability when prey populations consist of a single species
Aposematism is the signalling of a defence for the deterrence of predators. We presently focus on aposematic organisms that exhibit chemical...
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Pretty Darn Good Control: When are Approximate Solutions Better than Approximate Models
Existing methods for optimal control struggle to deal with the complexity commonly encountered in real-world systems, including dimensionality,...
