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Article
Chaos in a seasonal food-chain model with migration and variable carrying capacity
The carrying capacity’s functional dependence illustrates the reality that any species’ activities can enhance or diminish its carrying capacity. Migration is the need of many species to achieve better opportu...
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Article
Trade-off dynamics and chaotic behavior in nonautonomous prey-predator model with group defense
Ecological “trade-off” is prioritising one trait over another. Predators put their lives at danger to pursue dangerous prey, and their injuries can reduce their chances of survival. Prey must “trade-off” betwe...
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Article
Complex dynamics of a predator–prey system with fear and memory in the presence of two discrete delays
In this paper, we consider a two-species predator–prey model with fading memory, where the growth rate of prey species is subject to predation induced fear. Growth rate of predator species depends not only on ...
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Article
Diffusive patterns in a predator–prey system with fear and hunting cooperation
Cooperation among species is a ubiquitous behavior to better understand the system dynamics from an ecological perspective. Hunting cooperation among predators can impose fear effects on the prey population, t...
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Article
Bifurcations and multi-stability in an eco-epidemic model with additional food
In this work, we propose a Leslie–Gower prey–predator model where prey is afflicted with an incurable illness, and the predator may choose to eat the provided extra food. Our study aims to control the existing...
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Chapter and Conference Paper
Bifurcation Analysis of a Leslie-Gower Prey-Predator Model with Fear and Cooperative Hunting
The current work examines the dynamical features of a Leslie-Gower prey-predator model. The effects of fear and group defense among prey with the mechanism of cooperative hunting by predators are incorporated....
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Chapter and Conference Paper
Stability Switching in a Cooperative Prey-Predator Model with Transcritical and Hopf-bifurcations
In nature organisms attempt to adopt new techniques to diminish the possibilities of being falling prey. Interspecies cooperation is one of these approaches which two different types of prey can use against a ...
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Chapter and Conference Paper
Impact of Cooperative Hunting and Fear-Induced in a Prey-Predator System with Crowley-Martin Functional Response
Cooperative hunting among predators and the fear-induced growth rate reduction in prey populations is an ecologically significant phenomenon. Many researchers have studied the effects of hunting cooperation an...
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Article
Dynamics of prey–predator model with stage structure in prey including maturation and gestation delays
This study proposes a three-dimensional prey–predator model with stage structure in prey (immature and mature) including maturation delay in prey population and gestation delay in predator population. It is as...
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Chapter and Conference Paper
An SIR Model with Nonlinear Incidence Rate and Holling Type III Treatment Rate
We propose a mathematical model with nonlinear incidence rate and treatment rate to study the dynamics of susceptible-infected-recovered population. We consider nonlinear incidence rate as Crowley-Martin type ...
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Article
Spatiotemporal pattern formation in a diffusive predator-prey system: an analytical approach
In this paper, we propose and analyse a mathematical model to study the mathematical aspect of reaction diffusion pattern formation mechanism in a predator-prey system. An attempt is made to provide an analyti...
