In this paper, we propose a discrete Lotka–Volterra predator–prey model with Holling type-I and -II functional responses. We investigate the stability of fixed points model. Also, study effects changing each control parameter on long-time behavior This contains lot complex dynamical behaviors ranging from stable point to chaotic attractors. Finally, illustrate analytical results by some numerical simulations.

We propose a fractional‐order model of the interaction within two‐prey and one‐predator system. prove existence uniqueness solutions this model. investigate in detail local asymptotic stability equilibrium Also, we illustrate analytical results by some numerical simulations. Finally, give an example solution that is centre for integer order system, while it locally asymptotically stable its counterpart.

This paper discusses the effect of density-dependent birth rate in a discrete predator–prey system with mixed functional responses Holling types I and III. We use Beverton–Holt function to modify parameter prey species. The steady states their stability are established. criteria for flip bifurcation (FB) Neimark–Sacker (NSB) proposed analytically using center manifold theorem normal theory. Using state feedback control method, it is shown that chaotic orbit can be stabilized at an unstable...

In this paper, a discrete Lotka-Volterra predator-prey model is proposed that considers mixed functional responses of Holling types I and III. The equilibrium points the are obtained, their stability tested.... | Find, read cite all research you need on Tech Science Press

We study some qualitative properties of the solutions a system difference equations, which describes an economic model. The local stability equilibrium points is carried out. give important results invariant and boundedness to considered system. global convergence presented investigated.

Self-Organized Criticality (SOC) phenomena could have a significant effect on the dynamics of ecosystems. The Bak–Sneppen (BS) model is simple and robust biological evolution that exhibits punctuated equilibrium behavior. Here, we will introduce random version BS model. We also generalize single objective to multiobjective one.

Here, we apply multi team concept to the prey-predator model. The prey teams help each other. Local stability of system is studied. Global and persistence model without are investigated.

In this paper, we give a simple mathematical model for multi‐drug antimicrobial resistance. The describes the dynamics of susceptible and three classes infected populations. first class society is sensitive to drug but resisted second drug. other community responds resistant drug, third shows resistance both two drugs. stability conditions equilibrium states are derived. Also, illustrated analytical results by some numerical simulations. Finally, used multiobjective optimization approach...

A prion differential equation model motivated by Parkinson’s disease (PD) is studied. fractional-order form of this proposed. After that, we discretized model. sufficient condition for the existence and uniqueness a solution to system obtained. The stability fixed points achieved using Jury test. impacts varying parameters are examined. Under certain conditions, undergoes some kinds bifurcations. We observe that loses its through double-period bifurcation chaotic behavior as growth rate...

In this paper, four different forms of a model to describe the dynamics autoimmune diseases (with emphasis on Guillain–Barré syndrome) are proposed. first two cases, immune response is supposed be linear, while in other cases it Holling type III form. case linear response, has basic reproduction number and shows forward bifurcation. However, nonlinear does not have positive equilibria do exist for range parameters. The stability analysis model's steady states been established. Our analytical...

Drug resistance is one of the most serious phenomena in financial, economic and medical terms. The present paper proposes investigates a simple mathematical fractional-order model for phenomenon multi-drug antimicrobial resistance. describes dynamics susceptible three kinds infected populations. first class society responds to drug but resists second one. individuals react resist third shows both two drugs. We formulate associate it with some its properties. stability conditions equilibrium...

In this paper, two different mechanisms are used to study a homogeneous Cournot duopoly in market characterized by the downward sloping and concave price function. Two firms, which have constant marginal costs, use adaptive, low-rationality adjust their production levels toward equilibrium. particular, stability of equilibrium for is studied. However, complex dynamics arise, especially when reaction coefficient increases. Finally, we compare obtained results models.