By means of Mawhin’s continuation theorem of coincidence degree theory, some sufficient conditions are obtained for the existence of at least two positive almost periodic solutions of harvesting predator-prey model with Holling III type functional response and time delays. An example and numerical simulations are employed to illustrate the main result of this paper. Key–Words: Almost periodicit...

This paper is devoted to a delayed periodic predatorprey system with non-monotonic numerical response on time scales. With the help of a continuation theorem based on coincidence degree theory, we establish easily verifiable criteria for the existence of multiple periodic solutions. As corollaries, some applications are listed. In particular, our results improve and generalize some known ones. ...

In this paper, we consider a general class of delayed nonautonomous logistic Lotka-Volterra type multispecies cooperative system with harvesting terms on time scales. The model invovles the intraspecific cooperative terms defined by functions which depend on population densities. An existence theorem of at least 2n periodic solutions is established by using the coincidence degree theory. An exa...

Let (X, d) be a complete partially ordered cone metric space, g : X → X and F : X × X × X → X be two mappings. In this paper, a new concept of F having the mixed comparable property with respect to g is introduced and some tripled coincidence point results of F and g are obtained if F has the mixed comparable property with respect to g and some other natural conditions are satisfied. Moreover, ...

We apply some continuous selection theorems to establish coincidence theorems for a family of multimaps under various conditions. Then we apply these coincidence theorems to study the equilibrium problem with m families of players and 2m families of constraints on strategy sets. We establish the existence theorems of equilibria of this problem and existence theorem of equilibria of abstract eco...

In this paper, we mainly prove a coincidence theorem and common fixed point theorem in M-fuzzy metric spaces which improve the results of Som [11] who proved his results on Metric and Banach spaces. Also we improve and extend some known results of Veerapandi et al. [12] by extending three mappings to four weak compatible mappings. Mathematics Subject Classification: 47H10, 54H25.

In this paper, using the Gaines and Mawhin,s continuation theorem of coincidence degree theory on time scales, the existence of periodic solutions for a two-prey one-predator system is studied. Some sufficient conditions for the existence of positive periodic solutions are obtained. The results provide unified existence theorems of periodic solution for the continuous differential equations and...

In this paper, we have established coupled coincidence point results for pair of mappings in partially ordered G-metric spaces. We have defined w-compatibility in this context to ensure the uniqueness of the coupled common fixed point. There are several corollaries which extend some known results of coupled coincidence points and coupled fixed points. The main theorem is illustrated with an exa...

By utilizing the continuation theorem of coincidence degree theory, we shall prove that a Fox production harvesting model with delay has at least one positive almost periodic solution. Some preliminary assertions are provided prior to proving our main theorem. We construct a numerical example along with graphical representations to illustrate feasibility of the theoretical result.

Based on the well-known Brouwder fixed-point theorem in this paper we will present a variety of collectively coincidence-type results for general classes maps. Our theory automatically generate analytic alternatives and minimax inequalities.