The outcome of competition between Campoletis chlorideae Uchida and Eriborus argenteopilosus (Cameron) (Hymenoptera: Ichneumonidae), two indigenous larval parasitoids of the noctuid pest, Spodoptera litura (Fabricius), was investigated in the laboratory by way of two experiments. In the individual exposure experiment, the host larvae were exposed to the parasitoids either alone or one after the other at different time intervals and were considered to be parasitised when the parasitoid was observed to sting the host larva. When they stung the host larva singly, the parasitism rates by C. chlorideae and E. argenteopilosus was either similar to or higher than the parasitism recorded by each parasitoid in the different combination/interaction treatments. C. chlorideae cocoons were formed from majority of the host larvae, which were stung by both parasitoid species, one after the other, in most oviposition orders and delays between ovipositions. E. argenteopilosus appeared to be the dominant parasitoid only in those treatments where it was the first one to parasitise and the delay in C. chlorideae parasitism was more than 18 h. and it never dominated the interactions, when it was the second one to parasitise. This implied that C. chlorideae had an almost consistent advantage over E. argenteopilosus. In the mass exposure experiment, the two parasitoid species (either alone or together) were allowed to forage and parasitise the host larvae in cages. When the two parasitoid species were allowed to forage in the same host patch simultaneously, the performance of C. chlorideae when it was alone was statistically similar to its performance in the presence of E. argenteopilosus. However, E. argenteopilosus performed better when it could forage alone. The results of both experiments revealed that C. chlorideae was the more competitive of the two species.

The purpose of this paper is to establish some coincidence, common fixed point theorems for monotone f-non decreasing self mappings satisfying certain rational type contraction in the context of a metric spaces endowed with partial order. Also, the results involving an integral type of such classes of mappings are discussed in application point of view. These results generalize and extend well known existing results in the literature. RESUMEN El propósito de este artículo es establecer teoremas de coincidencia y de punto fijo común para auto mapeos monótonos f-no decrecientes satisfaciendo ciertas contracciones de tipo racional en el contexto de espacios métricos dotados de un orden parcial. Adicionalmente, resultados que involucran clases de mapeos de tipo integral son discutidos desde un punto de vista de las aplicaciones. Estos resultados generalizan y extienden resultados bien conocidos, existentes en la literatura.

Objectives In this paper we present some fixed point theorems for self mappings satisfying generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -weak contraction condition in partially ordered complete b-metric spaces. The results presented over here generalize and extend some existing results in the literature. Finally, we illustrate two examples to support our results. Result We obtained a unique fixed point of a self mapping satisfying certain contraction condition which is involving an auxiliary function. Also, the results are presented for the existence of a common fixed point and a coincidence point for generalized $$(\phi , \psi )$$ ( ϕ , ψ ) -weak contraction mappings in partially ordered complete b-metric space.

Objectives We explore the existence of a fixed point as well as the uniqueness of a mapping in an ordered b-metric space using a generalized $$({\check{\psi }}, \hat{\eta })$$ ( ψ ˇ , η ^ ) -weak contraction. In addition, some results are posed on a coincidence point and a coupled coincidence point of two mappings under the same contraction condition. These findings generalize and build on a few recent studies in the literature. At the end, we provided some examples to back up our findings. Result In partially ordered b-metric spaces, it is discussed how to obtain a fixed point and its uniqueness of a mapping, and also investigated the existence of a coincidence point and a coupled coincidence point for two mappings that satisfying generalized weak contraction conditions.

The purpose of this paper is to establish some coupled fixed point theorems for a self mapping satisfying certain rational type contractions along with strict mixed monotone property in a metric space endowed with partial order. Also, we have given the result of existence and uniqueness of a coupled fixed point for the mapping. This result generalize and extend several well known results in the literature

The present report explores the discussion on 3D flow of dual stratified Oldroyd-B fluid in the direction of thermal radiation, viscous dissipation and heat source/sink. Mathematical modeling is formulated with an applied magnetic field through a stretching surface. The present flow governing system has been transformed as nonlinear ODE via suitable transformations and then concluded by using bvp4c. The graphs are described and illustrated for various non-dimensional parameters. Thermal stratification and Prandtl number parameters reduce the temperature, whereas thermal radiation and heat source parameters show reverse behavior. Numerical results are used to obtain the values of frictional drag, rate of heat and mass transfers. Finally, numerical results are compared with previous established work in a limiting case.

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In this paper, we establish some fixed point results of a mapping satisfying certain rational type contractive conditions in the frame work of a metric space endowed with partial order. Our results generalize and extend the result of Singh and Chatterjee (1988) [7] in partially ordered metric spaces and some existing results in the literature. Few illustrative examples are given to support our results.