A prey-predator interaction model has been suggested in which the population of a predator consists of a two-stage structure. Modified Holling's disk equation is used to describe the consumption of the prey so that it involves the additional source of food for the predator. The fear function is imposed on prey. It is supposed that the prey exhibits anti-predator behavior and may kill the adult predator due to their struggle against predation. The proposed model is investigated for existence, uniqueness, and boundedness. After determining all feasible equilibrium points, the local stability analyses are performed. In addition, global stability analyses for this model using the Lyapunov method are investigated. The chance of occurrence of loc

This paper proposes and studies an ecotoxicant system with Lotka-Volterra functional response for predation including prey protective region. The equilibrium points and the stability of this model have been investigated analytically both locally and globally. Finally, numerical simulations and graphical representations have been utilized to support our analytical findings

A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior. The model's qualitative properties, such as local equilibria stability, permanence, and global stability, are examined. The analysis of local bifurcation has been studied. It is discovered that the system experiences a saddle-node bifurcation at the survival equilibrium point whereas a transcritical bifurcation occurs at the boundary equilibrium point. Additionally established are the prerequisites for Hopf bifurcation existence. Finally, using MATLAB, a numerical investigation is conducted to verify t

A modified Leslie-Gower predator-prey model with a Beddington-DeAngelis functional response is proposed and studied. The purpose is to examine the effects of fear and quadratic fixed effort harvesting on the system's dynamic behavior. The model's qualitative properties, such as local equilibria stability, permanence, and global stability, are examined. The analysis of local bifurcation has been studied. It is discovered that the system experiences a saddle-node bifurcation at the survival equilibrium point whereas a transcritical bifurcation occurs at the boundary equilibrium point. Additionally established are the prerequisites for Hopf bifurcation existence. Finally, using MATLAB, a numerical investigation is conducted to verify the va

Recently new and multiple concepts emerged in the sustainability issues ,which transformed into number of planning and designing policies and strategies that must be committed by the designers and the relevant trends in building ,regarding Iraq and the reality of industrial areas ,especially in Baghdad, which helped to sustain few of it & emerged another with bad reflect ,which for that made it clear the importance of implicating sustainable ecological planning and designing strategies provided by the concept of Eco-industrial parks and the concept of Ecotowns and the future potentials provided ,and the easiness of carrying it out which made it flexible and away to provide a base supported by it for rebuilding and rehabilitation and

The food web is a crucial conceptual tool for understanding the dynamics of energy transfer in an ecosystem, as well as the feeding relationships among species within a community. It also reveals species interactions and community structure. As a result, an ecological food web system with two predators competing for prey while experiencing fear was developed and studied. The properties of the solution of the system were determined, and all potential equilibrium points were identified. The dynamic behavior in their immediate surroundings was examined both locally and globally. The system’s persistence demands were calculated, and all conceivable forms of local bifurcations were investigated. With the aid of MATLAB, a numerical simu

This paper argues that eco-awareness is presented in Margaret Atwood’s The Year of the Flood as a remedy for apocalyptic eco-phobia. The study focuses on apocalypse and eco-phobia as a motivation of the characters’ eco-awareness. Accordingly, the novel depicts several scenes of natural apocalyptic regarding the decline of the environment. There is an obvious relationship between apocalyptic eco-phobia and eco-awareness because they are environmental elements. Therefore, the study examines Atwood’s perception of apocalypse that threatens the ideal nature; she offers alternatives to avoid it via elevating the characters’ eco-awareness. Consequently, eco-awareness exemplifies the ideal natural state needed by the characters bec

To assess the impact of COVID‐19 on oral hygiene (OH) awareness, attitude towards dental treatment, fear of infection and economic impact in the Middle East.