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In this paper, we investigate the thermodynamic properties of black holes under the influence of rainbow gravity. In the metric of Schwarzschild, Reissner-Nordstrom and Reissner-Nordstrom-de Sitter black hole surrounded by quintessence, we consider a rainbow function and derive the existence of remnant and critical masses of a black hole. Using the Hawking temperature relation we derive the heat capacity and the entropy of the rainbow gravity inspired black holes and closely study the relation between entropy and area of the horizon for different values of n of the rainbow function.

<p style='text-indent:20px;'>In this paper a discrete-time two prey one predator model is considered with delay and Holling Type-Ⅲ functional response. The cost of fear of predation and the effect of anti-predator behavior of the prey is incorporated in the model, coupled with inter-specific competition among the prey species and intra-specific competition within the predator. The conditions for existence of the equilibrium points are obtained. We further derive the sufficient conditions for permanence and global stability of the co-existence equilibrium point. It is observed that the effect of fear induces stability in the system by eliminating the periodic solutions. On the other hand the effect of anti-predator behavior plays a major role in de-stabilizing the system by giving rise to predator-prey oscillations. Finally, several numerical simulations are performed which support our analytical findings.</p>

An 84-year-old man presented with a frontal headache and easy bruising. He had a background history of a pituitary macroadenoma, diagnosed incidentally a year earlier. Investigations showed haemorrhage into the pituitary macroadenoma leading to a diagnosis of pituitary apoplexy in the context of low platelet count secondary to immune thrombocytopaenia. He was treated with intravenous hydrocortisone, platelet transfusion, intravenous immunoglobulin and high-dose steroid. Neurosurgical intervention was not indicated initially. Five days into his admission, he developed bilateral ptosis and ophthalmoplegia. MRI confirmed further haemorrhage associated with compression of the optic chiasm. He was transferred to a tertiary neurosurgical centre where he underwent urgent surgical decompression. To date, there has been minor improvement in his neurological symptoms. Management of this patient required considerable multidisciplinary teamwork between the clinics of endocrinology, haematology, neurosurgery, ophthalmology and geriatrics.