In this paper, we have formulated and studied a stage-structure predator-prey model. Here, consider on both prey as well predator population which means that the is divided into two sub populations such juvenile adult prey, other hand, also predator. It assumed only ability to predation they consume prey. it considered growth rate of depends upon i.e., has no reproduction capability. Also, Holling II IV response function been used for consumption by respectively. types factors anti-predator...

In this paper, a two-species model of mammalian prey and predator has been developed. It is assumed that species grow logistically in the absence Allee effect species. considered growth rate affected by Allee. consumption dependent on refuge, water resources, moonlight. Different dynamical behaviours model, such as positivity, uniform boundedness, dissipativeness, persistence, bifurcation analysis, etc., have studied. The local stability studied around equilibrium points. Global coexistence...

For this study, a three-species food chain model that considers interactions between small fish, remora and large fish has been developed. It is assumed consume through the functional response of Holling type II. Remora are considered to benefit from eating remaining parts hunted by larger fish. may parasites found in bodies The non-negativity boundedness solution investigated. In addition, each potential stable state for determined. We also investigated local stability model, which close...

<abstract><p>This paper investigates a fractional-order mathematical model of predator-prey interaction in the ecology considering fear prey, which is generated addition by competition two prey species, to predator that cooperation with its species hunt preys. At first, we show system has non-negative solutions. The existence and uniqueness established differential equation were proven using Lipschitz Criteria. In applying theory Routh-Hurwitz Criteria, determine stability...

Global warming is becoming a big concern for the environment since it causing serious and often unexpected impacts on species, affecting their abundance, genetic composition, behavior survival. So, modeling study necessary to investigate effects of global in predator–prey dynamics. This research paper analyzed memory effect evaluated by Caputo fractional derivative interaction using an exponential fear function with Holling-type II presence prey predator species. It assumed that densities...

In this paper, a fractional order predator–prey mathematical model has been developed. model, the concept of intraguild predation introduced. It is assumed that intermediate predator consumes only prey and as well predator. Also, intraspecific competition prey, considered. Uniqueness, boundedness non-negativity solutions our proposed have discussed. Different possible equilibrium points are determined stability around these studied. found system can show some interesting dynamics model....

In this paper, a mathematical model has been formulated by considering carbon dioxide in the atmosphere, human population, forest biomass and global warming as separate compartments. It is assumed that biomasses grow logistically. growth rate of population affected through different natural activities. Also, it considered environment increases gradually due to increase atmosphere well deforestation. Different equilibrium points have determined. stability our proposed system explored around...

In this paper, a cholera disease transmission mathematical model has been developed. According to the mechanism of disease, total human population classified into four subpopulations such as (i) Susceptible human, (ii) Exposed (iii) Infected and (iv) Recovered human. Also, bacterial two Vibrio Cholerae that grows in infected intestine environment. It is assumed can be transmitted through consumption contaminated food water by bacterium present it spread environment vomiting feces humans....

In this paper, a fuzzy mathematical model on cholera disease has been developed in which all parameters related to the have considered as numbers. Here, total human population is divided into three subpopulations such susceptible persons, infected ones and recovered ones. Also, bacterial Vibrio Cholerae environment. Then existence condition boundedness of solution our proposed discussed. different equilibrium points stability system around these analyzed. The global endemic point also...

In this paper, a predator–prey interaction mathematical model has been developed incorporating prey refuge and square root functional response. It is considered that the species grow logistically in absence of predator. Then, positivity boundedness solutions our proposed system have investigated. After all possible equilibrium points are determined. Also, local stability around discussed. Global interior also The Hopf bifurcation analysis done with respect to rate (c), conservation (b) death...

Plankton occupy a vital place in the marine ecosystem due to their essential role. However small or microscopic, absence can bring entire life process standstill. In this work, we have proposed prey–predator ecological model consisting of phytoplankton, zooplankton, and fish, incorporating cannibalistic nature zooplankton harvesting fish population. Due differences feeding habits, are divided into two sub-classes: herbivorous carnivorous. The dynamic behavior is examined for each possible...

In this paper, a predator–prey model that takes into account the interactions between three species of fish, zooplankton, and phytoplankton has been developed. The logistic growth considered in absence zooplankton. It is assumed zooplankton eats phytoplankton. rate decreases due to fear fish. release toxins by fish consumption are two further factors decrease harvesting also study. Local global stability system around equilibrium points investigated. existence condition oscillatory behaviour...

It is frequently observed that adult members of prey species sometimes use their predation mechanism on juvenile predator species. Ecological literature describes this phenomenon as prey–predator role reversal dynamics.Numerous authors have and described the biological development behind feeding behaviour. However, dynamics hardly been illustrated in a precise way. In regard, we formulated an ecological model using standard interactions, allowing for reverse mechanism. The mathematical...